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 ABCD 53 48 53 43 Female 37 42 32 40 Male (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: All population proportions are not equal. H: PAPO Pc Po O Ho PA Pe Pe Po H: Not all population proportions are equal. OH: Not all population proportions are equal. HPA Pe Pc Po Ho PA PPC-Po H: All population proportions are not equal.

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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?
Reject Ho. We conclude that the population proportions are not equal in each location.
Do not reject H. We cannot reject the hypothesis that the population proportions are equal in each location.
Do not reject H. We conclude that the population proportions are not equal in each location.
Reject Ho. We cannot reject the hypothesis that the population proportions are 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.
No, there is no evidence that differences in agricultural contaminants found at the four locations altered the fish population by gender.
Transcribed Image Text: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? Reject Ho. We conclude that the population proportions are not equal in each location. Do not reject H. We cannot reject the hypothesis that the population proportions are equal in each location. Do not reject H. We conclude that the population proportions are not equal in each location. Reject Ho. We cannot reject the hypothesis that the population proportions are 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. No, there is no evidence that differences in agricultural contaminants found at the four locations altered the fish population by gender.
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
ABCD
Gender
53 48 53 43
Female 37 42 32 40
(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.
Male
State the null and alternative hypotheses.
O Ho: All population proportions are not equal.
H: PAPPc Po
OHO PA PB Pc Po
H: Not all population proportions are equal.
O Ho: Not all population proportions are equal.
HPA Pe Pc Po
OH PA
Pc Po
H: All population proportions are not equal.
Transcribed Image Text: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 ABCD Gender 53 48 53 43 Female 37 42 32 40 (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. Male State the null and alternative hypotheses. O Ho: All population proportions are not equal. H: PAPPc Po OHO PA PB Pc Po H: Not all population proportions are equal. O Ho: Not all population proportions are equal. HPA Pe Pc Po OH PA Pc Po H: All population proportions are not equal.
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