1.A salesperson claims that more than 40% of the people that come into the store make a purchase. To test this claim, the store manager selected a sample of 100 people in the store and found that 47 made a purchase. State the p-value for the test accurate to 4 decimal places.

2.A certain lottery claims that at least 10% of its tickets win some prize. A sample of 50 tickets had 3 winners. At the .10 level, test the claim. Do we reject or fail to reject the claim?

3.A manufacturer of batteries would like to insure that their defective rate is not higher than 5%. In order to be sure that their batteries meet this quality control standard, the supervisor randomly samples 100 batteries and finds that 8 are defective. Is there significant statistical evidence that the manufacturer is not meeting their quality control standards?? Find the p-value correct to 4 decimal places.