A researcher in a university's biology department studied the effect of agriculture contaminants on the stream fish population in northeastern Indiana. Specially-designed traps collected samples of fish at each of four stream locations. A research question was "Did thedifferences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender?" Suppose observed frequencies were as follows.Stream LocationsGenderABDMale51465141Female39443442(a) Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a 0.05 level of significance.State the null and alternative hypotheses.O Ho: PA = PB = Pc = PDH: Not all population proportions are equal.O Ho: PA = PB = Pc = PDH: All population proportions are not equal.O Hn: All population proportions are not equal.Ha: PA = PB = Pc = PDO Ho: Not all population proportions are equal.Hai PA = PB = Pc = PDFind the value of the test statistic. (Round your answer to three decimal places.)What is the p-value? (Round your answer to four decimal places.)p-value =What is your conclusion?O Do not reject H,. We cannot reject the hypothesis that the population proportions are equal in each location.O Reject Ho. We conclude that the population proportions are not equal in each location.O Reject Ho. We cannot reject the hypothesis that the population proportions are equal in each location.O Do not reject Ho. We conclude that the population proportions are not equal in each location.(b) Does it appear that differences in agricultural contaminants found at the four locations altered the fish population by gender?O Yes, there is evidence that differences in agricultural contaminants found at the four locations altered the fish population by gender.O No, there is no evidence that differences in agricultural contaminants found at the four locations altered the fish population by gender.

The Marascuillo Procedure: It is the testing of the hypothesis for multiple proportions of the…

A researcher in a university's biology department studied the effect of agriculture contaminants on the stream fish population in northeastern Indiana. Specially-designed traps collected samples of fish at each of four stream locations. A research question was "Did the differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender?" Suppose observed frequencies were as follows. Stream Locations Gender A BC D Male 51 46 51| 41 Female 39 44 34 42 (a) Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a 0.05 level of significance. State the null and alternative hypotheses. O Hạ: PA = Pe = Pc" Po H: Not all population proportions are equal. O Hại PA = Pe = Pc = Po H: All population proportions are not equal. O Ho: All population proportions are not equal. H: PA = Pe = Pc = PD O Ho: Not all population proportions are equal. H: PA- Pe = Pc = Po Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject Ho. We cannot reject the hypothesis that the population proportions are equal in each location. O Reject Hg. We conclude that the population proportions are not equal in each location. O Reject Hg. We cannot reject the hypothesis that the population proportions are equal in each location. O Do not reject Hg. We conclude that the population proportions are not equal in each location. (b) Does it appear that differences in agricultural contaminants found at the four locations altered the fish population by gender? O Yes, there is evidence that differences in agricultural contaminants found at the four locations altered the fish population by gender. O No, there is no evidence that differences in agricultural contaminants found at the four locations altered the fish population by gender.