Consider a situation in which a random sample of 1000 adults in the city is surv

Question

Consider a situation in which a random sample of 1000 adults in the city is surveyed and the proportion that primarily buy organic vegetables is computed. If a now random sample of 1000 adults will be taken from the same population of all adults in the city, determine whether each of the following would stay the same or would change. The population proportion p of all adults in the city that primarily buy organic vegetables would stay the same change The sample proportion p of surveyed adults that primarily buy organic vegetables would stay the same change The standard deviation of p would stay the same change

Explanation / Answer

Solution:

a) stay the same

The population proportion p will not change. Because, it dependents on population.

b) change
The sample proportion p will change. Because, it is a different sample and hence the estimate would slightly change.
c) stay the same
The standard deviation of sample proportion will change, because standard deviation of sample proportion depends on the new sample proportion.

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