Draw the sampling distribution of the sample proportion

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1. Harley Davidson owners make up 15% of all motorcycles registered in the U.S. You plan to interview a simple random sample of 400 motorcycle owners.

a. Draw the sampling distribution of the sample proportion of those who own a Harley.

b. How likely is the sample to contain between 14% and 16% of motorcyclist who own a Harley? c. What sample size would keep us from being able to use a normal model?

2. The proportion of all blood recipients stricken with viral hepatitis despite careful screening was given as 7% in a paper published in the American Journal of Medicine (1983). Suppose that a new treatment is developed that is believed to reduce the incidence rate of hepatitis infection. This treatment is given to 200 blood recipients.

What's the probability that exactly 30% of the patients given this treatment will contract hepatitis?

Reference no: EM132856064

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