A university dean wants to estimate the percentage of students at her university who drink alcohol of one kind or another. If she wants to estimate this percentage to within +1% with 80% confidence, how many students should she sample? . In a random sample of 1200 college students, 848 say they drink alcohol of one kind or another. Construct a 95% confidence interval for the percentage of college students who drink alcohol of one kind or another. Make sure to state and check all conditions and state your conclusion in context. . Use your confidence interval in part b to test if the percentage of college students who drink alcohol of one kind or another differs from the 61% figure for American adults. Make sure to state the hypotheses, but you do not need to check the conditions.

MATLAB: An Introduction with Applications
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It is thought that 61% of American adults drink alcohol of one kind or another. Are college
students like other American adults?
a. A university dean wants to estimate the percentage of students at her university who
drink alcohol of one kind or another. If she wants to estimate this percentage to within
+1% with 80% confidence, how many students should she sample?
b. In a random sample of 1200 college students, 848 say they drink alcohol of one kind or
another. Construct a 95% confidence interval for the percentage of college students who
drink alcohol of one kind or another. Make sure to state and check all conditions and state
your conclusion in context.
c. Use your confidence interval in part b to test if the percentage of college students who
drink alcohol of one kind or another differs from the 61% figure for American adults.
Make sure to state the hypotheses, but you do not need to check the conditions.
Transcribed Image Text:It is thought that 61% of American adults drink alcohol of one kind or another. Are college students like other American adults? a. A university dean wants to estimate the percentage of students at her university who drink alcohol of one kind or another. If she wants to estimate this percentage to within +1% with 80% confidence, how many students should she sample? b. In a random sample of 1200 college students, 848 say they drink alcohol of one kind or another. Construct a 95% confidence interval for the percentage of college students who drink alcohol of one kind or another. Make sure to state and check all conditions and state your conclusion in context. c. Use your confidence interval in part b to test if the percentage of college students who drink alcohol of one kind or another differs from the 61% figure for American adults. Make sure to state the hypotheses, but you do not need to check the conditions.
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