Use the following scenario for the next 4 questions: Based on the results of an annual customer satisfaction survey of State Farm policyholders, State Farm claims that policyholders have a customer satisfaction rate of greater than 90%. To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service. Fifteen percent of these policyholders said they were not satisfied with the quality of service. Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%
Answer:
Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 0.9[/tex]
Because tate Farm claims that policyholders have a customer satisfaction rate of greater than 90%.
The alternate hypotesis is:
[tex]H_{1} < 0.9[/tex]
Because of the question: Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%.
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.
State Farm claims that policyholders have a customer satisfaction rate of greater than 90%.
This means that [tex]\mu = 0.9, \sigma = \sqrt{0.9*0.1}[/tex]
To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service.
This means that [tex]n = 60[/tex]
Fifteen percent of these policyholders said they were not satisfied with the quality of service.
So 100 - 15 = 85% were satisfied, which means that [tex]p = 0.85[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.85 - 0.9}{\frac{\sqrt{0.9*0.1}}{\sqrt{60}}}[/tex]
[tex]z = -1.29[/tex]
[tex]z = -1.29[/tex] has a pvalue of 0.0985.
Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%
please OMG I DONT UNDERSTAND
Answer:
ANSWER
Step-by-step explanation:
C. Find the equation that is parallel to y = 12x-2 and crosses the point (6,2)
Answer:
The equation of line a is y=(1/2)x−1, and it passes through point (6,2).
line b is: y = -2x + c and we use point (-6,2) to find b.
2 = -2(-6) + c
14 = c
The equation for line b is: y = -2x + 14
The y-intercept (which is the point where x=0) is the point (0,14.) So, y=14
Step-by-step explanation:
hope this helps :)
what is the equation to 3x+2x+-x
Answer:
the answer qould be 4x if you are just simplifying
A. -4 1/6, 6 2/3
B. -3 5/6, 6 1/6
C. -2 5/6, 1/6
D. -3 1/6, 2/3
Answer: I think it might be (A)
Step-by-step explanation:
Which of these is the algebraic expression for "5 less than 6 times some number"?
6t - 5
5t - 6
5 - 6t
6 - 5t
Answer:
6t - 5
Step-by-step explanation:
hope you have a good day
Answer: correct me if im wrong but i think its 5-6t
Step-by-step explanation:
PLEASE HELP I REALLY NEED HELP PLEASE
Answer:
the absolute value of -70 is 70 so they would be equal
hope I helped
Answer:
the answer is 7=|-7| because the other would not make sense
How to make 28 tens and ones
Answer:
2 tens and 8 ones
Step-by-step explanation:
10 + 10 = 20
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8
20 + 8 = 28
Answer:
Step-by-step explanation:
2 tens and 8 ones
20=10/2
10x2=20
8/1=8
8x1=8
20+8=28
is 1 equivalent to -13 - (-12)
Plz help if correct ill give brailiest also the first answer was x<1
Answer:
For x<1, answer would be A.
Step-by-step explanation:
Since the less than sign doesn't have a line under it "making it less than or equal to" the dot on the graph is not shaded, and if you simply read the inequality, x is less than 1, so it goes in the direction less than 1.
"Write an equation for a slope of -7 and a y-intercept of -15"
Can someone plss help mee !?
Which line shows the first error in the solution?
Answer:
The first error is in line 1.
Step-by-step explanation:
The equation that represents the statement is:
[tex]4-\frac{x}{3}=11[/tex]
it is four (4) less than a number (x) divided by three (3) is 11.
Therefore, we need to start from this equation, so the first error is in line 1.
I hope it helps you!
Find the height of this cone using the Pythagorean Theorem. 9 in. h = [?] in. 6 in. a C Pythagorean Theorem: a2 + b2 = c2 b
Answer:
h = √72 in.
Step-by-step explanation:
Height of the cone using pythagorean theorem, a² + b² = c², where:
a = h
b = ½(6) = 3 in.
c = 9 in.
Plug in the values
h² + 3² = 9²
h² + 9 = 81
h² + 9 - 9 = 81 - 9
h² = 72
h = √72
The product of a number and 10 is 36
Answer:
The number is 26
Step-by-step explanation:
number + 10 = 36, then you'd subtract ten from both sides and get :
number = 26
Use the Pythagorean theorem to find the length of the leg in the triangle shown below 12 15
Answer:
9 = x (assuming 15 is the hypotenuse)
Step-by-step explanation:
15^2 = 12^2 + x^2
225 = 144 + x^2
subtract 144 from both sides
81 = x^2
square root both sides
9 = x
Round 8
to the nearest whole number.
Round 8 5/9 to the nearest whole number
Answer:
8 to the nearest whole is 10
8 is over halfway so its 10.
Step-by-step explanation:
8 5/9 rounded to nearest whole is 9
5/9 id about 1/2 and 1/2 is about a whole so its 9
Solve for y you do not have to show your work
9+4y-y+7=-14
Answer:
y= -10
Step-by-step explanation:
:)
simplify 63:18 please show working.
Answer:
=7:2
Step-by-step explanation:
63:18
divide both sides by 3
=21.6
divide by 3 again
=7:2
simplify this please
Answer:
Step-by-step explanation:
x^10/x^5
x^10*x^-5
x^10-5
x^5
Please Answer QUICKLY
What is the value of x in the equation Negative StartFraction 2 over 9 EndFraction x = two-fifths?
Negative 1 and four-fifths
Negative StartFraction 5 over 9 EndFraction
StartFraction 5 over 9 EndFraction
1 and four-fifths
c.StartFraction 5 over 9 EndFraction
D. is not the answer and four-fifths i think the best answer
What is the value of x?
Answer:
9
Step-by-step explanation:
7x - 3 = 60
7x = 60 + 3
7x = 63
x = 63 ÷ 7
x = 9
10 POINTS PLS ANSWER
Answer:
x=15
Step-by-step explanation:
x+165degrees=180degrees
x=180-165
x=15
Complete the statement using <, >, or =.
20% of 30 ___30% of 40
Answer:
20% of 30 < 30% of 40
Step-by-step explanation:
Find 20% of 30
20/100 = x/30
Cross multiply
20 × 30 = 100 × x
600 = 100x
Divide both sides by 100
6 = x
Find 30% of 40
30/100 = x/40
Cross multiply
30 × 40 = 100 × x
1200 = 100x
Divide both sides by 100
12 = x
Compare the two answers:
6 and 12
6 < 12
Which expression could help you find the distance
between (10, 4) and (-6,4)?
O |10+ |-41
O |10| + 141
O |-6] + 141
O |10| + |-61
AB ___ DE Choose the relationship symbol that makes the statement true. > < =
Answer:
the answer above this one is wrong
respectfully
Step-by-step explanation:
The answer is " < "
because angle F is greater than angle C, which means line ED is longer than AB
The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive)
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.
1. Is a Square a rectangle?(Always, Never, Sometimes. Are all the answers you can say for these)
2. is a trapezoid a parallelogram?
3. does Quadrilaterals
have for congruent sides?
4. is a parallelogram a rectangle?
Answer:
1. sometimes
2. always
3. always
4. always
Step-by-step explanation:
6. What is the volume of the rectangular prism below?
1 point
9.3 cm
4 cm
4 cm
Your answer
Answer:
Step-by-step explanation:
I dont know it can you help me
4-3 Interpreting Rate of Change and y-Intercept in a Real - World Context - Part 1
Independent Practice
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Answer:
20 + 25x
Step-by-step explanation: