You conduct a survey of UNR undergraduate students regarding sleeping habits. In your sample, 39 out of the 96 people you survey go to sleep before midnight. (Assume that the 50% of the general population go to sleep before midnight.)
a) Calculate a 90% confidence interval for the true proportion
of UNR undergraduates who go to sleep before midnight.
Perform a two-sided hypothesis test at alpha=0.10.
b) If the true proportion of UNR undergraduates who go to sleep before midnight is 55%, you want to risk a 5% chance of failing to reject the null hypothesis. Let alpha=0.05. If you are conducting a two-sided test for π = 0.5, how large a sample would be required?
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