A researcher studying public opinion of proposed Social Security changes obtains

Question

A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 25 adult Americans and asks them whether or not they support the proposed changes To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 10% of all adult Americans support the changes (b) 15% of all adult Americans support the changes (a) The researcher must ask _____ more American adults. (Round up to the nearest integer.) (b) The researcher must ask _____ more American adults. (Round up to the nearest integer.)

Explanation / Answer

26) as np should be greater then 10

henec for p=0.1 ; n>=10/0.1 n>=100 therefore we need 75 more people

b) n>=10/0.15 >=67

hence we need 67-25 =42 more people

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