A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B. The company wants to know if employees have a preference between the two plans and whether or not preference differs between those employees who have family members covered under the current plan (group 1) and those who do not (group 2). The human resources office takes a simple random sample from each of the two groups, sends information about both plans to the employees in each sample, and asks them whether they prefer plan A or plan B. The table summarizes the responses received, with expected cell counts in parentheses.

Plan A Plan B Total
Yes (group 1) 40 (32.5) 20 (27.5) 60
No (group 2) 6 (13.5) 19 (11.5) 25
Total 46 39 85

Which statement is true about whether the conditions for the chi-square test for homogeneity have been met?
a. A simple random sample should have been taken from all the employees, and then each employee in the sample should have been asked their plan preference and whether or not they have family members covered under the current health insurance plan.
b. The expected cell counts are not large enough to apply the chi-square test for homogeneity.
c. The total sample size is not large enough to apply the chi-square test for homogeneity.
d. The total sample size is too large to apply the chi-square test for homogeneity.
e. All conditions necessary to apply the chi-square test for homogeneity are satisfied here.

Answers

Answer 1

Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.

Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.

Answer 2

The total sample size is too large to apply the chi-square test for homogeneity.

We have given that,

A manufacturing company with 350 employees is  changing the employee health insurance plan to either plan A or plan B.

                         Plan A        Plan B        Total

yes(group 1)       40(32.5)   20(27.5)      60

No (group 2)      6 (13.5)     (11.5) 25       25

Total                   46             39              85

We have to find which statement is true,

What is sampling without replacement?

Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.

The sample size should not exceed 10 percent of the population size.when we use sampling  without replacement,

Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.

Therefore,the total sample size is too large to apply the chi-square test for homogeneity.

To learn more about the sample space replacement and without replacement visit:

https://brainly.com/question/17042101


Related Questions

Compute four-week and five-week moving averages for the time series. If required, round your answers to two decimal places. Week Sales 4 Period Moving Average 5 Period Moving Average 1 17 2 21 3 19 4 23 5 18 fill in the blank 1 6 16 fill in the blank 2 fill in the blank 3 7 20 fill in the blank 4 fill in the blank 5 8 18 fill in the blank 6 fill in the blank 7 9 22 fill in the blank 8 fill in the blank 9 10 20 fill in the blank 10 fill in the blank 11 11 15 fill in the blank 12 fill in the blank 13 12 22 fill in the blank 14 fill in the blank 15

Answers

Answer:

     fill in the blank 1      =20

fill in the blank 2    =20.25            

fill in the blank 3 =  19.4

   fill in the blank 4     =  19.75                  

 fill in the blank 5 =19.6                                                                  

 fill in the blank 6  =  19.25                    

fill in the blank 7=19.2

  fill in the blank 8  =   18              

fill in the blank 9= 19

fill in the blank 10 = 76/4=19                

  fill in the blank 11 =   18.8

Step-by-step explanation:

Week        Sales      4 Period Moving Average      5 Period Moving Average

1                  17                      

2                 21      

3                 19          

4                 23                  

5                  18              fill in the blank 1  

                                           =20

6                   16        fill in the blank 2               fill in the blank 3

                                       =20.25                            19.4

7                  20        fill in the blank 4                     fill in the blank 5

                                    19.75                                     19.6

8                   18          fill in the blank 6                fill in the blank 7

                                       19.25                                   19.2

9                   22       fill in the blank 8               fill in the blank 9

                                        18                                      19

10                20           fill in the blank 10            fill in the blank 11

                                           76/4=19                        18.8

11                15      fill in the blank 12                      fill in the blank 13

                                  20                                               19.2

12              22           fill in the blank 14               fill in the blank 15

                                      18.75                                   19

The formula used for moving average is

a1= 1/4 ( W1+W2+W3+W4)

a2= 1/4 ( W2+W3+W4+ W5)

a3= 1/4( W3+W4+ W5+W6)

and so on

Where W1= week 1, W2= week 2 ,W3=  week3

a1= 1st average , a2= 2nd average

The similar process is used for five year moving average

a1= 1/5 ( W1+W2+W3+W4)

a2= 1/5 ( W2+W3+W4+ W5)

a3= 1/5( W3+W4+ W5+W6)

Only it is divided by 5 instead of 4

To calculate the four-week and five-week moving averages, we need to sum up the sales for the specified number of weeks and divide by the corresponding period.

Week | Sales | 4-Period Moving Average | 5-Period Moving Average

-----|-------|------------------------|------------------------

1    | 17    |                        |                      

2    | 21    |                        |                      

3    | 19    |                        |                      

4    | 23    |                        |                      

5    | 18    | 20.00                  |                      

6    | 16    | 19.25                  |                      

7    | 20    | 19.50                  |                      

8    | 18    | 19.25                  |                      

9    | 22    | 19.00                  |                      

10   | 20    | 19.00                  |                      

11   | 15    | 18.75                  | 19.20                

12   | 22    | 18.75                  | 19.20                

13   | 22    | 19.75                  | 19.40                

14   |       | 19.75                  | 19.40                

15   |       | 19.75                  | 19.40                

The four-week moving average is calculated by summing up the sales of the current week and the previous three weeks, and then dividing by 4. The five-week moving average is calculated similarly, but with a period of five weeks.

What is the measure of angle GXI?

Answers

Answer:

Step-by-step explanation:

GXI with three points sounds like a triangle and a triangle angle equals 180 degrees.

Add picture and I'll try to solve full problem

There are 40 people in a choir.
Half of the people in the choir are women.
The number of women in the choir is 5 times the number of
men in the choir.
The rest of the people in the choir are children.
the number of
children in the
choir
:
the number of
men in the choir
n : 1
Work out the value of n.
You must show how you get your answer.
n =

Answers

9514 1404 393

Answer:

  n = 4

Step-by-step explanation:

Of the 40 people, half are women, so there are 20 women.

There are 5 times as many women as men, so 20/5 = 4 are men.

The remainder are children, so there are 20-4 = 16 children.

The ratio of children to men is ...

  children : men = 16 : 4 = 4 : 1 = n : 1 . . . . . . . . remove a factor of 4 from 16:4

The value of n is 4.

Please help

See the picture

Answers

Answer:

6

Step-by-step explanation:

Gud luck

Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
long and one pair in 2 inches long. What shape could Tyshawn have drawn?

Answers

Answer:

Rectangle

Step-by-step explanation:

2 inches × 2 sides and 4 inches × 2 sides = a rectangle

Solve triangle ABC. (Round your answers to one decimal place.)
∠A =
13.5
°
∠B =
63.9
°
∠C =

Answers

< A + < B + < C = 180
13.5 + 63.9 + < C = 180
< C = 102.6

Please help me with this problem!​

Answers

Answer: Yes

Step-by-step explanation:

Solving for the third angle in the left triangle, using the fact that angles in a triangle add to 180 degrees, we get the third angle is 180-50-60=70 degrees.

Thus, the triangles are similar by AA.

find the distance between the two points

(1, 2), (-3, 5)​

Answers

Answer:

13

Step-by-step explanation:

if you  cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.

Which one of the following expressions has the same value as -11 + 6?

Answers

Answer:

1 + 4 = 5

Step-by-step explanation:

If 3 students eat 2 pizzas how many pizzas are needed for 54 students

Answers

Answer:

18 pizzas

Step-by-step explanation:

The bar graph shows the height of a plant each month for four months. Your friend concludes that the height of the plant in Month 4 is 3
times its height in Month 1. Is this conclusion accurate? Explain.

Answers

Answer:

I can't see the pic or I can't answer sorry

Step-by-step explanation:

No, because the height in month one was twelve centimeters, while the height in month four was 24 centimeters. This conclusion is not accurate because 12 times 3 is 36, not 24.

Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?

Answers

2,007.5

Explanation: The round trip to go to the park is 5.5 (2.75 times). Then multiply 5.5 by 365 days and you’ll get 2,007.5

What value of y makes the equation 3y+ 9 = 36 true?

Answers

Answer:

y=9

Step-by-step explanation:

Jonathan is making 4 birdhouses. Each needs 7 3/4 feet of wood. How much wood is needed?​

Answers

Answer:

31 feet of wood is needed

Cold day where I live! Stuck inside and need some help with math!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

Step-by-step explanation:

Use tangent:

tan = opposite / adjacent

tan x = 1/14x = arctan (1/14)x = 4°

A tool box has the dimensions of 9 in by 3 in by 6 in. If Rick plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer:

No; it will not double the volume of the box

Step-by-step explanation:

I have no idea what this question is asking ​

Answers

Answer:

I think it's $200 as well since it asks how much money was borrowed.

Step-by-step explanation:

What is the value of mc015-1.jp g?

Answers

Answer:

I dont know

Step-by-step explanation:

Answer:

1456

Step-by-step explanation:

This question is asking us to find the sum of [tex]4(3)^{n-1}[/tex] from n = 1 to n = 6. We can find the sum like this:

[tex]4(3)^{1-1} +4(3)^{2-1} +4(3)^{3-1} +4(3)^{4-1} +4(3)^{5-1} +4(3)^{6-1}[/tex]

Which can be simplified to:

[tex]4(3)^{0} +4(3)^{1} +4(3)^{2} +4(3)^{3} +4(3)^{4} +4(3)^{5}[/tex]

[tex]4(1) +4(3) +4(9) +4(27)+4(81) +4(243)[/tex]

[tex]4 +12 +36 +108+324 +972 = 1456[/tex]

3. Which statement is true?
A. The only factors of 3 are 3 and 1.
B. The only factors of 4 are 4 and 1.
C. The only factors of 6 are 6 and 1.
D. The only factors of 8 are 8 and 1.

Answers

Answer: A

Step-by-step explanation: 4 can be divided by 2, 6 can be divided by 3, and 8 can be divided by 4. 3 can only be divided by 3 and 1, so the answer is A.

Hope this helps :)

Answer:

A) 3 is a prime number which means its only factors are itself and one

Step-by-step explanation:

all other options are composite numbers and have 3 or more factors:

factors of 4: 1,2,4

factors of 6: 1,2,3,6

factors of 8: 1,2,4,8

Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?

Answers

9514 1404 393

Answer:

  20 minutes

Step-by-step explanation:

The trains are separating at the rate of 80 +70 = 150 km/hour. The time required to be 50 km apart is then ...

  time = distance/speed = (50 km)/(150 km/h) = 1/3 h = 20 minutes

A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.)2x^3 − 5x^2 − 28x + 15 = 0; {1/2}

Answers

Answer:

2x^3 − 5x^2

Step-by-step explanation:

(Will mark branliest please help!! :) Find the area of the figure.
A) 20 mm2
B) 40 m2
4 mm
4 mm 6 mm
C) 14 mm
D) 40 mm
4 mm

Answers

Answer:

Well, let's break it down.

Since calculating a triangle is like calculating a rectangle, then sawing it in half, we can correctly decide that the top and bottom right sections are both equal to twelve, adding up to 24.  Now for the other two, we can use another quick trick; by instead of adding the equal right triangles, you can skip the division and multiplication by two, leaving us with a square area of 16. 24 + 16 is 40, and since we are working with millimeters instead of meters, the answer must be D

tl/dr: D

Hope this helps!

Step-by-step explanation:

order least to greatest -5, -7, -0.75, 13, 0.75, 0.5, 9

Answers

Answer: -7, -0.75, -5, 0.5, 0.75, 9, 13

Step-by-step explanation:

Because negative numbers are always less

Someone help I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

It is D

The one you have chosen is the correct answer.

Step-by-step explanation:

72 is 40% of what number? A. 18 B. 144 C. 180 D. 280

Answers

Answer:180(D)

Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.

Answer:

The answer is C(180) on edg 2021

A container that holds beans is shaped like a cylinder. The radius of the container is 9 centimeters, and the height of the container is 11.25 centimeters.Which measurement is closest to the volume of the container in cubic centimeters?
2862.78
954.26
715.69
238.5

Answers

Answer:

I can't tell you the answer but pi is 3.1415

Please help me i can’t solve this

Answers

Answer:

8 to the third power inches squared

Step-by-step explanation:

well

4 to the third power is

4 x 4 x 4 which equals 64

then

2 to the third power

2 x 2 x 2 = 8

64 x 8 = 512

finally

8 x 8 x 8 = 512

Answer -
To find a area of a rectangle you need to multiply it’s height by it’s width.
Multiply the base if the exponents are the same.

4^3 x 2^3 = 8^3
The second option.


I think .....

Use the figure to find the measures of the numbered angles.

Answers

Answer:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

Answer:

Step-by-step explanation:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

need help with these 2 questions

Answers

Answer:

There are no questions....

Are they on your prev one?

Please answer within the next 7 min, giving 38 points of a ligament answer!

Answers

The answer is choice C
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