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5. (10pts) We found that 15 customers from a random sample of 60 would be willing...

5. (10pts) We found that 15 customers from a random sample of 60 would be willing to buy a software upgrade that costs $100. If the upgrade is to be profitable, we will need to sell it to more than 20% of our customers. Do the sample data give good evidence that more than 20% are willing to buy?

(a) Give the null and alternative hypotheses, compute the test statistic and the P-value, and draw the conclusion at the significance level α = 0.05. (5 pts)

(b) Give a 95% CI for the percentage of customers willing to buy. (5pts)

Math   Statistics-And-Probability   
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