10) Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 510 choosing a product at the regular price, 320 claimed to check price at...

10) Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 510 choosing a product at the regular price, 320 claimed to check price at the point of choice. Of an independent random sample of 332 choosing a product at a special price, 200 made this claim.

A) Find a 95% confidence interval for the difference between the two population proportions.

B) Test at the 5% level of significance their no difference between the two population proportions.