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In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At a=0.09, 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 H₂- The claim is "the proportion of female college enrollees is 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 H₂. Choose the correct answer below. OA. Ho: P₁ #P2 Ha: P1 P2 O D. Ho: P₁ SP2 Ha: P1 P2 OA. Z< O C. z< OB. Ho: P1 P2 Ha: P1 SP2 and z> CHE OE. Ho: P1 P2 H₂: P₁ P₂ (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (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. (Rund to two decimal places as needed.) OC. Ho: P₁ P2 Ha: P1 P2 OB. z> OD.7 OF. Ho: P1 = P2 Ha: P₁ P2

In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At a=0.09, 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 H₂- The claim is "the proportion of female college enrollees is 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 H₂. Choose the correct answer below. OA. Ho: P₁ #P2 Ha: P1 P2 O D. Ho: P₁ SP2 Ha: P1 P2 OA. Z< O C. z< OB. Ho: P1 P2 Ha: P1 SP2 and z> CHE OE. Ho: P1 P2 H₂: P₁ P₂ (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (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. (Rund to two decimal places as needed.) OC. Ho: P₁ P2 Ha: P1 P2 OB. z> OD.7 OF. Ho: P1 = P2 Ha: P₁ P2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At x = 0.09, 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 H₂- The claim is "the proportion of female college enrollees is the proportion of male college enrollees." Let p₁ 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. OA. Ho: P₁ #P2 Ha: P1 P2 OD. Ho: P₁ SP2 H₂: P₁ P2 OA. Z< OC. z< OB. Ho: P1 P2 Ha: P1 SP2 and z> CIE O E. Ho: P1 <P2 Ha: P₁ P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (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. (Rund to two decimal places as needed.) OB. z> O D. OC. Ho: P1 2P2 Ha: P1 P2 <Z< OF. Ho: P1 P2 Ha: P₁ P2
Transcribed Image Text:In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At x = 0.09, 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 H₂- The claim is "the proportion of female college enrollees is the proportion of male college enrollees." Let p₁ 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. OA. Ho: P₁ #P2 Ha: P1 P2 OD. Ho: P₁ SP2 H₂: P₁ P2 OA. Z< OC. z< OB. Ho: P1 P2 Ha: P1 SP2 and z> CIE O E. Ho: P1 <P2 Ha: P₁ P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (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. (Rund to two decimal places as needed.) OB. z> O D. OC. Ho: P1 2P2 Ha: P1 P2 <Z< OF. Ho: P1 P2 Ha: P₁ P2
In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.09, 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). O C. z< 9 (c) Find the standardized test statistic. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. OA. At the 9% significance level, there is sufficient evidence to support the claim. OB. At the 9% significance level, there is sufficient evidence to reject the claim. OC. At the 9% significance level, there is insufficient evidence to support the claim. OD. At the 9% significance level, there is insufficient evidence to reject the claim. DE O D. - <Z<
Transcribed Image Text:In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.09, 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). O C. z< 9 (c) Find the standardized test statistic. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. OA. At the 9% significance level, there is sufficient evidence to support the claim. OB. At the 9% significance level, there is sufficient evidence to reject the claim. OC. At the 9% significance level, there is insufficient evidence to support the claim. OD. At the 9% significance level, there is insufficient evidence to reject the claim. DE O D. - <Z<
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