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. This table lists the results of the
study. At = .05, test the claim that the rodent type and the success of finishing the
maze are not related.
Mice Rats
Finished 30 22
Did not Finish 36 13
A) 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 > 1.393
B) 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 2.773 < 3.841
C) 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 1.393 < 9.488
D) 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 > 2.773

Explanation / Answer

The test hypothesis is Ho:not related Ha: related The test statistic is Chi-square=2.773 degrees of freedom =1 p-value: 0.09586634 Given a=0.05, the critical value is X^2(0.95, df=1)=3.84 (check chiquare table) Since 2.773

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