MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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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<
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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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Step 1: Given information:
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Step 2: Identify the claim and state the hypotheses:
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Step 3: Find the critical value and identify the rejection region:
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Step 4: Find the test statistic:
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Step 5: Decide whether to reject the null hypothesis or not and interpret the result:
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