In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At a = 0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of female college enrollees is V the proportion of male college enrollees." Let p, represent the population proportion for female college enrollees and p, represent the population proportion for male college enrollees. State Ho and Ha Choose the correct answer below. O A. Ho: P1 SP2 O B. Ho: P1 2P2 O C. Ho: P1 > P2 Ha: P1 > P2 Ha: P1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were
enrolled in college. At a = 0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random
samples are independent. Complete parts (a) through (e).
(a) Identify the claim and state Ho and Ha.
The claim is "the proportion of female college enrollees is
V the proportion of male college enrollees."
Let p, represent the population proportion for female college enrollees and p2 represent the population proportion for male college enrollees. State Ho and Ha
Choose the correct answer below.
O A. Ho: P1 SP2
O B. Ho: P1 2P2
O C. Ho: P1 > P2
Ha: P1 > P2
Ha: P1 <P2
Ha: P1 sP2
O D. Ho: P1 <P2
O E. Ho: P1 #P2
O F. Ho: P1 = P2
Ha: P1 2 P2
Ha: P1 = P2
Ha: P1 #P2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is(are) - 1.645,1.645
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.)
Transcribed Image Text:In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At a = 0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of female college enrollees is V the proportion of male college enrollees." Let p, represent the population proportion for female college enrollees and p2 represent the population proportion for male college enrollees. State Ho and Ha Choose the correct answer below. O A. Ho: P1 SP2 O B. Ho: P1 2P2 O C. Ho: P1 > P2 Ha: P1 > P2 Ha: P1 <P2 Ha: P1 sP2 O D. Ho: P1 <P2 O E. Ho: P1 #P2 O F. Ho: P1 = P2 Ha: P1 2 P2 Ha: P1 = P2 Ha: P1 #P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) - 1.645,1.645 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.)
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