Kate Sanders, a researcher in the department of biology at IPFW University, stud

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 Indians (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 after the proportion of the fish population by gender? Observed frequencies were as follows. 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 el of significance. What is the p-value and what is your conclusion? b. Does it appear that differences in agricultural contaminants found at the four locations altered the fish population by gender?

Explanation / Answer

for above test stat 2.4858 ; p value =0.4779; which is  higher then 0.05 level ; we can not reject that all proportions are equal

b)No as we can not reject that there is difference in population proproportion on basis of above sample

Observed O A B C D Total Male 49 44 49 39 181 female 41 46 36 44 167 Total 90 90 85 83 348 Expected E=rowtotal*column total/grand total A B C D Total Male 46.8 46.8103 44.2098 43.1695 181 female 43.2 43.2 40.8 39.8 167 Total 90 90 85 83 348 chi square =(O-E)^2/E A B C D Total Male 0.102 0.1687 0.5190 0.4027 1.193 female 0.111 0.183 0.563 0.436 1.293 Total 0.213 0.352 1.082 0.839 2.4858

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