According to a study conducted in city, 37% of adults in the city have credit ca

Question

According to a study conducted in city, 37% of adults in the city have credit card debts of more than $2000. A simple random sample of n= 200 adults is obtained from the city. Describe the sampling distribution of p(hat) the sample proportion of adults who have credit card debts of more than $2000. Round three decimal places when necessary.




est.POSTONIT T This Question: 1 pt According to a study conducted in one city, 37% of adult three decimal places when necessary OA. Exactly normal; p #0.37, ?p-0.034 0 B. Binomial; p-74, ?p 6.828 c. Approximately normal, p # 0.37, ?p-0.034 p+0.370p 0.001 OD. Approximately normal;

Explanation / Answer

p= 37%
n= 200

E(phat) = E(X/n) = p 0.37
V(phat) = V(X/n)= pq/n = =0.37*(1-0.37)/200
V(phat) = V(X/n)= pq/n = 0.0011655

distribution of Phat is approximately normal with mean=0.37 and sd=0.001166
D. is correct

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