Reference no: EM132581583

Proctor and Gamble wants to know whether the percentage of American consumers who use dishwasher tablets has increased from its historical level of 33%. Proctor and Gamble surveys a random and representative sample of 1000 American consumers, and asks them whether they use dishwasher tablets. 350 out of 1000 use dishwasher tablets. It it has evidence that the proportion of American consumers who use dishwasher tablets has increased Proctor and Gamble will spend $500,000 expanding production of dishwasher tablets.

-Carry out a hypothesis test to find whether there is evidence that the percentage of American consumers who use dishwasher tablets has increased from its historical level of 33%. Use a significance of 5%.

-Suppose that the percentage of American consumers who use dishwasher tablets is 33%. What proportion of the time would your hypothesis testing procedure report that there is evidence that the percentage of American consumers who use dishwasher tablets has increased from its historical level of 33%?