# Name:____________________________________Chapter 11 Problem Solving Worksheet1.Suppose you are conducting the following tests with the following test statistics.

Name:____________________________________Chapter 11 Problem Solving Worksheet1.Suppose you are conducting the following tests with the following test statistics.Calculate the P-value for each of the problems.a)A z-test with the following null and alternative hypothesis and test statistic00:*Hpp*against0:*a**H**p**p*with2.98*z*b)A z-test with the following null and alternative hypothesis and test statistic00:*Hpp*against0:*a**H**p**p*with2.54*z*c)If you were conducting a 5% significance test, would your answers to each part (a) and part (b)lead you to reject or not reject the null hypothesis?2.Experimenters injected a growth hormone gene into carp eggs. Of the 400 carp that grew fromthese eggs, 20 incorporated the gene into their DNA.a)What would be the critical value (2*z*) for a 91% confidence interval for the proportion of carpthat would incorporate the gene into their DNA?b)What would be the margin of error for a 91% confidence interval for the proportion of carp thatwould incorporate the gene into their DNA?c)Calculate a 91% confidence interval for the proportion of carp that would incorporate the geneinto their DNA.