Drinking the cereal milk? A USA Today poll asked a random sample of 1012 U.S. adults what they do with the milk in their cereal bowl after they have eaten. Let p̂  be the proportion of people in the sample who drink the cereal milk. A spokesman for the dairy industry claims that 70% of all U.S. adults drink cereal milk. Suppose this claim is true.

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  1. Drinking the cereal milk? A USA Today poll asked a random sample of 1012 U.S. adults what they do with the milk in their cereal bowl after they have eaten. Let p̂  be the proportion of people in the sample who drink the cereal milk. A spokesman for the dairy industry claims that 70% of all U.S. adults drink cereal milk. Suppose this claim is true.

 

a. Calculate the mean.  (1)



b. Calculate the standard deviation. (1)




c. Justify that the sampling distribution of p̂ is approximately normal. (2)






d. Calculate the probability that at most 67% of the people in the sample drink the cereal milk. (3)










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