Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? at the 10% significance level, there is evidence to V the claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Refer to the figure at the right. At a =0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in
2000 was the same for men and women? AsSsume the survey included a random sample of 248 men and 244 women.
Percentage of 18- to 24-year olds living
in parents' homes
70,.
51.5%
41.2%
46.6% 44.3%
2000
2012
O Men
Women
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. H,: P, +P2
Ha: P1 = P2
O B. Ho: P, <P2
Ha: P, > P2
c. Họ: P1 = P2
O D. Ho: P1 > P2
Ha: P, SP2
Ha: P1 #P2
Find the critical value(s).
The critical value(s) is(are) +1.65
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Find the standardized test statistic.
z= 2.29 (Round to two decimal places as needed.)
Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000?
V, at the 10% significance level, there is
evidence to
the claim.
Transcribed Image Text:Refer to the figure at the right. At a =0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? AsSsume the survey included a random sample of 248 men and 244 women. Percentage of 18- to 24-year olds living in parents' homes 70,. 51.5% 41.2% 46.6% 44.3% 2000 2012 O Men Women Identify the null and alternative hypotheses. Choose the correct answer below. O A. H,: P, +P2 Ha: P1 = P2 O B. Ho: P, <P2 Ha: P, > P2 c. Họ: P1 = P2 O D. Ho: P1 > P2 Ha: P, SP2 Ha: P1 #P2 Find the critical value(s). The critical value(s) is(are) +1.65 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. z= 2.29 (Round to two decimal places as needed.) Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? V, at the 10% significance level, there is evidence to the claim.
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