1.A comparative study of organic and conventionally grown produce was checked for the presence of E. coli. Results are summarized below. Is there a significant difference in the proportion of E. coli in organic vs. conventionally grown produce? Organic (O) Conventional (C) Sample Size 200 500 Sample Proportion .20 .10 Test the following hypotheses: H0: pO = pC Ha: pO pC a. Calculate the value of the test statistic. (Round to two decimal places) Answer b. What is the p-value? (Round to four decimal places) Answer c. At a 1% significance level, the decision is to Answer 2.During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in Alabama and Mississippi. Alabama (A) Mississippi (M) Sample Size 800 600 Sample Proportion .55 .60 Test the following hypotheses: H0: pA - pM = 0 Ha: pA - pM 0 a. Calculate the value of the test statistic. (Round to two decimal places) Answer b. What is the p-value? (Round to four decimal places) Answer c. At a 5% significance level, the decision is to 3.Among a sample of 50 M.D.'s (medical doctors) in the city of Memphis, Tennessee (T), 10 indicated they make house calls; while among a sample of 100 M.D.'s in Atlanta, Georgia (G), 18 said they make house calls. Test the following hypotheses: H0: pT = pG Ha: pT pG a. Calculate the value of the test statistic. (Round to two decimal places) Answer b. What is the p-value? (Round to four decimal places) Answer c. At a 5% significance level, the decision is to Tennessee (T) Mississippi (M) Sample Size 500 700 Sample Proportion .59 .51 4.During the primary elections of 1996, candidate A showed the following pre-election voter support in Tennessee and Mississippi. Test the following hypotheses: H0: pT = pM Ha: pT pM a. Calculate the value of the test statistic. (Round to two decimal places) Answer b. What is the p-value? (Round to four decimal places) Answer c. At a 1% significance level, the decision is to Answer 5.The results of a recent poll on the preference of voters regarding the presidential candidates are shown below. Candidate A Candidate B Sample Size 200 300 Sample Proportion .75 .65 Test the following hypotheses: H0: pA = pB Ha: pA pB a. Calculate the value of the test statistic. (Round to two decimal places) Answer b. What is the p-value? (Round to four decimal places) Answer c. At a 5% significance level, the decision is to