a. Determine the sample proportions. Determine the sample proportionp1. p1=enter your response here(Round to three decimal places as needed.)Part 2Determine the sample proportionp2. p2=enter your response here(Round to three decimal places as needed.)Part 3Determine the pooled sample proportionpp. pp=enter your response here(Round to three decimal places as needed.)Part 4b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. A.The assumptions are satisfied, so using the procedures is appropriate. B.Sincex1is less than 5, using the procedures is not appropriate. C.Sincen2−x2is less than 5, using the procedures is not appropriate. D.Sincex2is less than 5, using the procedures is not appropriate. E.Sincen1−x1is less than 5, using the procedures is not appropriate.Part 5c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test? A.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 not equals p 2H0: p1=p2, Ha: p1≠p2 B.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 less than p 2H0: p1=p2, Ha: p1<p2 C.Upper H 0 : p 1 less than p 2 comma Upper H Subscript a Baseline : p 1 equals p 2H0: p1<p2, Ha: p1=p2 D.Upper H 0 : p 1 not equals p 2 comma Upper H Subscript a Baseline : p 1 equals p 2H0: p1≠p2, Ha: p1=p2 E.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 greater than p 2H0: p1=p2, Ha: p1>p2 F.Upper H 0 : p 1 greater than p 2 comma Upper H Subscript a Baseline : p 1 equals p 2H0: p1>p2, Ha: p1=p2 G.Using the two-proportions z-procedures is not appropriate.Part 6Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A.z=enter your response here(Round to two decimal places as needed.) B.Using the two-proportions z-procedures is not appropriate.Part 7Identify the P-value, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A.The P-value isenter your response here.(Round to three decimal places as needed.) B.Using the two-proportions z-procedures is not appropriate.Part 8Which of the following is the correct conclusion for the hypothesis test? A.At the 5% significance level,do not rejectH0;the dataprovidesufficient evidence to acceptHa. B.At the 5% significance level,rejectH0;the dataprovidesufficient evidence to acceptHa. C.At the 5% significance level,do not rejectH0;the datado not providesufficient evidence to acceptHa. D.At the 5% significance level,rejectH0;the datado not providesufficient evidence to acceptHa. E.Using the two-proportions z-procedures is not appropriate. d. If appropriate, use the two-proportions z-interval procedure to find the specified confidence interval. Select the correct choice below and, if necessary, fill in the answer boxes to complete your answer. A.The 90% confidence interval forp1−p2is fromenter your response heretoenter your response here.(Round to three decimal places as needed.) B.Using the two-proportions z-procedures is not appropriate. The numbers of successes and the sample sizes for independent simple random samples from twopopulations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through(d).x₁ = 11, n₁ = 60, x₂ = 10, n₂ = 70, x=0.05Click here to view a table of areas under the standard normal curve for negative values of z.Click here to view a table of areas under the standard normal curve for positive values of z.

Given Information: First sample: Sample size n1=60 Number of successes x1=11 Second sample: Sample…

Answered: a. Determine the sample proportions.…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Part 2

Determine the sample proportion

p2.

p2=enter your response here

(Round to three decimal places as needed.)

Part 3

Determine the pooled sample proportion

pp.

pp=enter your response here

(Round to three decimal places as needed.)

Part 4

b. Decide whether using the two-proportions z-procedures is appropriate.

Check that the assumptions are satisfied. Select all that apply.

The assumptions are satisfied, so using the procedures is appropriate.

Since

is less than 5, using the procedures is not appropriate.

Since

n2−x2

is less than 5, using the procedures is not appropriate.

Since

is less than 5, using the procedures is not appropriate.

Since

n1−x1

is less than 5, using the procedures is not appropriate.

Part 5

c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test?

A.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 not equals p 2

H0: p1=p2, Ha: p1≠p2

B.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 less than p 2

H0: p1=p2, Ha: p1<p2

C.Upper H 0 : p 1 less than p 2 comma Upper H Subscript a Baseline : p 1 equals p 2

H0: p1<p2, Ha: p1=p2

D.Upper H 0 : p 1 not equals p 2 comma Upper H Subscript a Baseline : p 1 equals p 2

H0: p1≠p2, Ha: p1=p2

E.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 greater than p 2

H0: p1=p2, Ha: p1>p2

F.Upper H 0 : p 1 greater than p 2 comma Upper H Subscript a Baseline : p 1 equals p 2

H0: p1>p2, Ha: p1=p2

Using the two-proportions z-procedures is not appropriate.

Part 6

Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

z=enter your response here

(Round to two decimal places as needed.)

Using the two-proportions z-procedures is not appropriate.

Part 7

Identify the P-value, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Using the two-proportions z-procedures is not appropriate.

Part 8

Which of the following is the correct conclusion for the hypothesis test?

At the 5% significance level,

do not reject

H0;

the data

provide

sufficient evidence to accept

Ha.

At the 5% significance level,

reject

H0;

the data

provide

sufficient evidence to accept

Ha.

At the 5% significance level,

do not reject

H0;

the data

do not provide

sufficient evidence to accept

Ha.

At the 5% significance level,

reject

H0;

the data

do not provide

sufficient evidence to accept

Ha.

Using the two-proportions z-procedures is not appropriate.

d. If appropriate, use the two-proportions z-interval procedure to find the specified confidence interval.

Select the correct choice below and, if necessary, fill in the answer boxes to complete your answer.

The 90% confidence interval for

p1−p2

is from

enter your response here

enter your response here.

(Round to three decimal places as needed.)

Using the two-proportions z-procedures is not appropriate.

The numbers of successes and the sample sizes for independent simple random samples from two
populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through
(d).
x₁ = 11, n₁ = 60, x₂ = 10, n₂ = 70, x=0.05
Click here to view a table of areas under the standard normal curve for negative values of z.
Click here to view a table of areas under the standard normal curve for positive values of z.

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