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# 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:aHppwith2.98zb)A z-test with the following null and alternative hypothesis and test statistic00:Hppagainst0:aHppwith2.54z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 (2z) 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.

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