Statistical inference for the population proportion To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an opinion survey, asking N randomly selected employees whether they are satisfied with the new policy How many employees must be sampled in order to guarantee a sampling error (95 confidence interval) within 2 A survey is conducted, using the value of N chosen in part a This survey reveals that 62 5 of the sampled employees are satisfied with the new policy What is the 95 confidence interval for p, the proportion of all company employees that are satisfied with the new policy What is the 99 confidence interval for p Is the sample evidence sufficient to conclude that more than 60 of employees are satisfied with the new policy To answer this question, perform a hypothesis test at 05 State the alternative and null hypotheses, compute the observed significance level (p value), and state the conclusion of your test What are the potential effects of Type I and Type II errors for this hypothesis test How would the proportions of these errors be changed if you were to use a lower value of , such as 01, instead of 05

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Statistical inference for the population proportion To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an

Statistical inference for the population proportion

To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an opinion survey, asking N randomly selected employees whether they are satisfied with the new policy.

How many employees must be sampled in order to guarantee a sampling error (95% confidence interval) within +/- 2%?
A survey is conducted, using the value of N chosen in part a. This survey reveals that 62.5% of the sampled employees are satisfied with the new policy. What is the 95% confidence interval for p, the proportion of all company employees that are satisfied with the new policy? What is the 99% confidence interval for p?
Is the sample evidence sufficient to conclude that more than 60% of employees are satisfied with the new policy? To answer this question, perform a hypothesis test at = .05. State the alternative and null hypotheses, compute the observed significance level (p-value), and state the conclusion of your test.
What are the potential effects of Type I and Type II errors for this hypothesis test? How would the proportions of these errors be changed if you were to use a lower value of , such as = .01, instead of = .05?