An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 51% of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal. Formulate the null and alternative hypotheses, Choose the correct answer below. O A. Ho: p=0.5 Ha: p<0.5 O B. Ho: p=0.5 Ha: p+0.5 OC. Ho: p<0.5 O D. Ho: p=0.5 Hg: p>0.5 Hg: p=0.5 Find the test statistic. (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = (Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. O B. Do not reject Hn. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. O C. Reject Ho. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. O D. Do not reject Hn. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.
An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 51% of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal. Formulate the null and alternative hypotheses, Choose the correct answer below. O A. Ho: p=0.5 Ha: p<0.5 O B. Ho: p=0.5 Ha: p+0.5 OC. Ho: p<0.5 O D. Ho: p=0.5 Hg: p>0.5 Hg: p=0.5 Find the test statistic. (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = (Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. O B. Do not reject Hn. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. O C. Reject Ho. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. O D. Do not reject Hn. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Transcribed Image Text:An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 51% of first-year students believe that abortion should be legal.
Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal.
Formulate the null and alternative hypotheses. Choose the correct answer below.
....
A. Ho:p=0.5
O A.
O B. Ho: p=0.5
Ha:p#0.5
Ha:p<0.5
C. Ho: p<0.5
Hai p= 0.5
O D. Ho: p=0.5
Hai p>0.5
Find the test statistic.
(Round to two decimal places as needed.)
Find the P-value for the found test statistic.
P-value =
|(Round to four decimal places as needed.)
State the conclusion. Choose the correct answer below.
O A. Reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.
B. Do not reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.
C. Reject Ho: There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.
D. Do not reject Ho. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.
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