1. Find the minimum sample size you should use to assure that your estimate of P

Question

1. Find the minimum sample size you should use to assure that your estimate of P hat will be within the required margin of error around the population P margin of error equals 0.04, confidence level, 90%, from a prior study, P hat is estimated to be 0.28
2. 50 people are selected randomly from a certain population and it is found that 14 people in the sample are over 6 feet tall what is the point estimate of the true proportion of people in the population who are over 6 feet tall?

Left: 1:09:21 Cassidy Bailey: Attempt 1 Question 6 (5 points) Find the minimum sample size you should use to assure that your estimate of p-hat will be within the required margin of error around the population p. Margin of error: 0.04; confidence level: 90%, from a prior study, p-hat is estimated to be 028 O a) 14 O b) 341 c) 1023 O d) 303 Save Question 7 (5 points) 50 people are selected randomly from a certain population and it is found that 14 people in the sample are over 6 feet tail what is the point estimate of the true proportion of people in the population who are over 6 feet tall? O a) 0.50 O b) 0.28

Explanation / Answer

Answer to the question is as follows:

For 90% CI , the Z is 1.645, p^ is what' mentioned below:

MOE = .04 = Z*sqrt(p*p'/n)

.04 = 1.645*sqrt(.28*.72/n)

n = (1.645^2)*.28*.72/.04^2 = 340.9 , so we round off to next highest number.

n =341

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