Answer:
The pvalue of the test is 0.7188 > 0.05, which means that there is not enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research.
Step-by-step explanation:
Test if there is enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research:
This means that at the null hypothesis we test if the proportion is 62%, that is:
[tex]H_0: p = 0.62[/tex]
At the alternate hypothesis, we test if the proportion is different from 0.62, that is:
[tex]H_a: p \neq 0.62[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample
62% is tested at the null hypothesis:
This means that [tex]\mu = 0.62, \sigma = \sqrt{0.62*0.38}[/tex]
When a random sample of 26 autistic children were observed, 17 were found to be left-handed.
This means that [tex]n = 26, X = \frac{17}{26} = 0.6538[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.6538 - 0.62}{\frac{\sqrt{0.62*0.38}}{\sqrt{26}}}[/tex]
[tex]z = 0.36[/tex]
Pvalue of test and decision:
The pvalue of the test is the probability of a proportion that differs from the mean by at least 0.6538 - 0.62 = 0.0338, which is P(|z| > 0.36), which is two multiplied by the pvalue of z = -0.36
Looking at the z-table, z = -0.36 has a pvalue of 0.3594
2*0.3594 = 0.7188
The pvalue of the test is 0.7188 > 0.05, which means that there is not enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research.
A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. In the Microsoft Excel Online file below you will find a sample of data on years of experience of the salesperson and annual sales. Conduct a regression analysis to explore the relationship between these two variables and then answer the following questions.
Open spreadsheet
Compute b1 and b0 (to 1 decimal).
b1 =____ fill in the blank
b0 =____ fill in the blank
Complete the estimated regression equation (to 1 decimal).
y= ____ + ____x fill in the blank 5x
According to this model, what is the change in annual sales ($1000s) for every year of experience (to 1 decimal)?
____fill in the blank
Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1.
r2 =____ fill in the blank
What percentage of the variation in annual sales ($1000s) can be explained by the years of experience of the salesperson (to 1 decimal)?
fill in the blank ____ %
A new salesperson joins the team with 8 years of experience. What is the estimated annual sales ($1000s) for the new salesperson (to the nearest whole number)?
$____ fill in the blank
Salesperson Years of Experience Annual Sales ($1000s)
1 2 78
2 4 94
3 4 87
4 4 104
5 5 107
6 9 109
7 9 124
8 10 121
9 10 122
10 14 131
Answer:
(a) [tex]b_1 =3.4[/tex] and [tex]b_0 = 83.7[/tex]
(b) [tex]y=83.7+3.4 x[/tex]
(c) [tex]r^2 = 0.790[/tex]
(d) [tex]\% Variation = 79.0\%[/tex]
(e) The expected earnings is: $110,900
Step-by-step explanation:
The data for the 10 sales person is as follows:
[tex]\begin{array}{ccc}{Years\ of Experience} & {Annual\ Sales(\$ 1000)} & {Salesperson} & {1} & {1} & {85} & {2} & {3} & {97} & {3} & {3} & {95}& {4} & {5} & {97}& {5} & {7} & {105}& {6} & {8} & {106}& {7} & {10} & {122} & {8} & {10} & {120} & {9} & {12} & {113} & {10} & {12} & {134}\ \end{array}[/tex]
Required
Perform a regression analysis using Microsoft Excel
Note
I added two attachments to this solutionIn the first attachment, I highlighted the step to follow to perform regression analysis. At step 4, ensure that you fill in the input y range and the input x range. The input y range (in this question) is the column for sales person while the input x range is the annual sales Click ok, then Microsoft Excel will perform the analysis for you.
The question will be answered based on the result of the analysis performed by the application (See attachment 2)
See attachment 2 for the result of the analysis (I've highlighted the solution to each question on the attached file)
(a) b1 and b0
[tex]b_1 = 3.372767857[/tex]
[tex]b_1 \approx 3.4[/tex]
[tex]b_0 = 83.65625[/tex]
[tex]b_0 \approx 83.7[/tex]
(b) The estimated regression equation
The equation is of the form:
[tex]y =b_0 + b_1x[/tex]
Where:
[tex]b_1 =3.4[/tex]
[tex]b_0 =83.7[/tex]
So:
[tex]y=83.7+3.4 x[/tex]
(c) The coefficient of determination (r^2)
[tex]r^2 = 0.790361699[/tex]
[tex]r^2 \approx 0.790[/tex]
(d) Percentage of variation
To do this, we simply convert r^2 to percentage
[tex]\% Variation = r^2 * 100\%[/tex]
[tex]\% Variation = 0.790 * 100\%[/tex]
[tex]\% Variation = 79.0\%[/tex]
(e) Expected annual sales of a sales person with 8 years of experience.
Using the regression equation
[tex]y=83.7+3.4 x[/tex]
Where
[tex]x = 8[/tex] --- the years of experience.
So;
[tex]y = 83.7 + 3.4 * 8[/tex]
[tex]y = 83.7 + 27.2[/tex]
[tex]y = 110.9[/tex]
The expected earnings is: $110,900
a restaurant offers 4 pasta meals, 5 seafood meals, and 6 burgers for its main course. If a diner picks a meal at random, what is the probability that the meal selected is seafood
Answer:
5/15 or 1/3 reduced
Hope this helps!
GIVING OUT BRAINLIEST ANSWER HELPPP ME QUICKKK PLSSS
Answer:
Number 2. Any circle can be mapped onto another circle by dilation then translation is FALSE
Step-by-step explanation:
2 3/4 + 12 6/8 = answer
Answer:
15 1/2
Step-by-step explanation:
Answer:
15 1/2
Step-by-step explanation:
pattern x starts with the number 0 and follows the rule "add 2". pattern y starts with the number 30 and follows the rule "subtract 5". place a check mark in the box next to each ordered pair that that could be formed by the corresponding terms in the patterns
A. [2, 5]
B. [4, 20]
C. [10, 5]
D. [12, 0]
E. [15, 22]
F. [6, 15]
Consider the following expression.
3y + 5x + 2
Select all of the true statements below :
2 is a constant.
3y and 2 are like terms.
3y + 5x + 2 is written as a sum
of three terms.
3y is a coefficient.
3y is a factor.
None of these are true.
Answer:
2 is a constant
3y + 5x + 2 is written as a sum of three terms
Please need help ASAP.
Answer:
Billy is wrong it's 28 cm2
Sam is wrong it's 59cm2
Pedro is wrong it's 55.3 cm2
Which is the most appropriate unit to measure the weight of salad ? A. Tons B. Ounces C. Teaspoons D. Pounds
Answer:
Ounces :)
Step-by-step explanation:
The area of the rectangle is 25xy^2, what is the width and length
Answer:
25xy=L
y=W
Step-by-step explanation:
The width and length are
25xy=L
y=W
We factor this out and then we get 2 terms which are our factors
Adele's Voice:
"Hello, it's me. I was wondering if you could help me with this problem."
Don't send me a link to some website. I do trust it especially if it requires me to download something. Furthermore, Brainly will not accept links to random sites thus deleting the question along with taking away my points. :(
Answer:
a) P(2) =3(2)=6
b) P(10)= 3(10)=30
c) P(s)= 3s
Step-by-step explanation:
P=3s/s =3
Jesse makes a large wooden picture frame in the shape of a rectangle with a diagonal brace on the back, as shown in the diagram.
What is the length, in feet, of the diagonal brace that Jesse uses?
Answer Choices:
F. 5ft
G.15ft
H.60ft
J.7ft
Answer:5 ft
Step-by-step explanation: ( 36 x 36 ) + ( 48 x 48 ) = 3600 inches
Square root of 3600 is 60
Convert inches to feet: 60 / 12 = 5
Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the
following number of cards drawn from a deck until a queen appears.
3,12,3, 11,5,5, 3, 10, 12
Answer:
3
Step-by-step explanation:
Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive
Find the surface area of a pyramid
Answer:
88 inches ^2
Step-by-step explanation:
Well find the side of a triangle first.
4*9=26
26/2=18
There are 4 identical triangles
18*4= 72
Now the bottom square
4*4=16
16+72= 88
88 inches ^2
A bin of 5 transistors is known to contain 2 that are defective. The transistors are tested one at a time until both defective transistors have been identified. Denote N1 the number of tests until the first defective is identified and N2 the number of tests until the second defective is identified. (a) Find the joint probability mass function of N1 and N2.
Answer:
sorry I donot know the answer never mind ok
To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected. For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.
A 3-column table with 10 rows. Column 1 is labeled student with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Before with entries 800, 870, 860, 820, 1140, 1050, 850, 910, 830, 1140. Column 3 is labeled after with entries 1100, 1010, 1000, 980, 1410, 1270, 1020, 1010, 1060, 1340.
A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points. Based on the confidence interval, is it reasonable to claim that the SAT prep course is beneficial?
No, 0 is not contained in the confidence interval.
Yes, 0 is not contained in the confidence interval.
No, the confidence interval only contains positive values.
Yes, the confidence interval only contains positive values.
Answer:
,, yes the confidence interval only contains positive values
Answer:
Yes, the confidence interval only contains positive values.
Step-by-step explanation:
A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points.
Based on the confidence interval if we go though the table we will find that each student show increase in confidence level .
As, At least the confidence level improved because it contains positive values only if we subtract previous value with the new values.
Therefore ,Yes, the confidence interval only contains positive values.
Click here to know more about the confidence level.
https://brainly.com/question/15712887
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Combine like term in the following expressions:
3x + 5y + 2z + 2x + y + 3z +5 -3
A. 18
B. 5x+6y+5z+2
C. 8x+$z+4y+8
D. None of Above
Answer:
B. 5x+6y+5z+2
Step-by-step explanation:
3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2
B
What is 12÷2/5? Ty to everyone helping
Answer:
1.2 is the answer.
Step-by-step explanation:
12/2=6
6/5=1.3
Have a nice day!
find the missing side using the pythagorean theorem
Answer:
26.55
Step-by-step explanation:
[tex]a^2 + b^2 = c^2\\b^2 = c^2 - a^2[/tex]
use the b^2 equation
------------------------
b^2 = 31 squared - 16 squared.
b^2 = 705
b=[tex]\sqrt{705}[/tex]
b=26.5518361
Which of the following numbers is 90 divisible by? 2,3,4,6,9,10
Answer:
2,3,5,6,9,10
Step-by-step explanation:
Well this is very hard and I need help passing do anybody know the answer to this question
Answer:
-1.9
Step-by-step explanation:
Do -16 and 16 have the same value
Answer:
No they do not
Step-by-step explanation:
16 is positive -16 is negative they have different values. Hope this helps!
Write the equation of the circle with the given information.
Center: (-8, 0)
Diameter: 5
Answer:
(x + 8)² + y² = 6.25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 8, 0 ) and r = 5 ÷ 2 = 2.5 , then
(x - (- 8))² + (y - 0)² = 2.5² , that is
(x + 8)² + y² = 6.25
Find the function h(x) = f(x) - g(x) if f(x)=3^x and g(x) = 3^2x - 3^x
Step-by-step explanation:
h(x)=f(x)-g(x)h(x)=3^x-3^2x-3^xh(x)=3^x(1-3²-1)h(x)=3^x(-9)h(x)= -27^xhope it helps.
Which statement defines Suppose that farmers grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the price of tomatoes?the term markup?
Answer:
The price would go down as people would be more willing to buy cheaper potatoes and the producers would want to sell them for a lower price to get rid of them easy and fast.
Step-by-step explanation:
Hope this helps you :)
Find the volume for the regular pyramid.
V =
Answer:
What do you mean by that?
What is the greatest common factor of the polynomial -25y^3+15y^2-5y
Answer:
-5y
Step-by-step explanation:
16-x=-2
Please I need help Solve for X
Answer:
x=18
Step-by-step explanation:
Answer:
first group like terms
16+2=x
18=x
x=18
Rewrite 4a + 7a using the Distributive Property.
I'm confused, and I'm very very bad at algebra
The limited answers are
a(4 + 7)
a + a + a + a + a + a + a + a + a + a + a
4(a + a)
28a
PLEASE HELP
Answer:
a(4+7)
Step-by-step explanation:
this answer shows how the a will be distributed to the 4 and 7 when you use the distributive property to solve.
Solve the equation 40 = -10(y+0.3). what does the y equal
Answer:
y = -4.3
Step-by-step explanation:
40 = -10(y + 0.3) {Step 1: Use the distributive property to multiply -10 by y + 0.3}
40 = -10y + -10(0.3)
40 = -10y - 3 {Step 2: Add 3 to both sides.}
40 + 3 = -10y
43 = -10y {Step 3: Divide both sides by -10}
43/-10 = y
-4.3 = y
y equals -4.3.
Answer:
y = -4.3
Step-by-step explanation:
40 = -10(y + 0.3)
40 = -10y - 3
-3. -3
43 = -10y
Divide 43 by -10
y equal 4.3