A biologist had mice and rats run through a maze and recorded the number that fi

Question

A biologist had mice and rats run through a maze and recorded the number that finished the maze successfully and the number that did not. The table lists the results of the study. At , test the claim that the rodent type and the success of finishing the maze are not related. Mice Rats Finished 25 23 Did not Finish 25 13 There is evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 9.488 > 1.126 There is not evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 1.126 < 9.488 There is evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 3.841 > 1.637 There is not evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 1.637 < 3.841

Explanation / Answer

here degree of freedom =(row-1)*(column-1) =(2-1)*(2-1) =1

for 1 degree of freedom and 0.05 level; critical value of chi square =3.841

applying goodness of fit test on above:

test value =1.637

hence   There is not evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 1.637 < 3.841

Observed O mice rats Total finish 25 23 48 did not finish 25 13 38 Total 50 36 86 Expected E=rowtotal*column total/grand total mice rats Total finish 27.907 20.093 48 did not finish 22.093 15.907 38 Total 50 36 86 chi square =(O-E)^2/E mice rats Total finish 0.303 0.4206 0.723 did not finish 0.382 0.531 0.914 Total 0.685 0.952 1.637

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