Question

Kate Sanders, a researcher in the department of biology at IPFW University, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012). 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? Observed frequencies were as follows Stream Locations Gender Male Female 49 4449 39 41 46 36 44 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 .05 level of significance. Use Table 12.4. Select the hypotheses that can be used to test for equal proportions of defective components provided by three suppliers H: All population proportions are equal H aNot all population proportions are equal The p-value is between.005 and.01 What is your conclusion? The population proportion of female equal in all four locations. b. Does It appear that differences in agricultural contaminants found at the four locations altered the fish population by gender? Yes

Answer 1

a) H₀ : all population proportion are equal

H₁ : all population proportion are not equal

Actual Values:
49 44 49 39
41 46 36 44

Expected Values:
46.8103 46.8103 44.2098 43.1695
43.1897 43.1897 40.7902 39.8305

Chi-Squared Values:
0.102426 0.168724 0.519032 0.402716
0.111013 0.182869 0.562544 0.436477

Chi-Square = 2.4858

Degrees of Freedom = 3

p = 0.477863 which is greater than 0.05

c) population proportion are equal i.e .accept null hypothesis

d) no, it doesn't seem any difference.