In November 2001, the Ag Globe Trotter newsletter reported that 90% of adults drink milk. A regional farmer’s organization planning a new marketing campaign across its multicounty area polls a random sample of 800 adults living there. In this sample 696 people said that they drink milk.
a. (3 points) Calculate a 95% confidence interval for the proportion of adults in this region drink milk.
b. (4 points) At the 5% level, conduct a hypothesis test of the claim that 90% of adults drink milk. State the null and alternative hypothesis, calculate P-value and draw your conclusion clearly.
c. (2 points) In the particular context of questions a) and b), explain the relationship between confidence interval and hypothesis testing in your own words.
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