In: Statistics and Probability
H0: p=0.9
Ha: p≠0.9
1) We know that the sample size is 1,429. For what sample proportion would the p-value be equal
to 0.01? Assume that all conditions necessary for inference are satisfied.
2) 400 students were randomly sampled from a large university, and 239 said they did not get
enough sleep. Conduct a hypothesis test to check whether this represents a statistically
significant difference from 50%, and use a significance level of 0.01.
3) Given the same situation above (n = 400, p-hat = 239/400) set up a confidence interval at the
95% confidence level.
4) Use the confidence interval you found in part (3) above to conduct a hypothesis test on ‘Do
less than half of college students get enough slee
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