Question

69% of people living in a certain city are opposed to the use of a guard...

69% of people living in a certain city are opposed to the use of a guard camera. A random sample of 178 people from a population of 15,000 is obtained. The 178 people are asked to think about the use of a watchdog. If p^ the proportion of the sample that says it opposes, what is the mean of the sample distribution of p^? (result to two decimal places)

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Answer #1

the mean of the sample distribution of p^ = 0.69

Explanation -

If repeated random samples of a given size n are taken from a population of values for a categorical variable, where the proportion in the category of interest is p, then the mean of all sample proportions (p-hat) is the population proportion (p).

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