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Testing of proportion

A study of cats and dogs found that 11 of 50 cats and 21 of 50 dogs slept more than 10 hours per day. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of cats and the proportion of dogs that sleep more than 10 hours per day?

A)No, there is not sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -0.65 is inside the acceptance region (-1.96,1.96).
B)Yes, there is sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -2.14 is outside the acceptance region (-1.96,1.96).
C)No, there is not sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -1.40 is inside the acceptance region (-1.96,1.96).
D)Yes, there is sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -2.47 is outside the acceptance region (-1.96,1.96).

Solution Preview

Please see the attachments for easy readability. The correct answer is (B). Explanation is provided in the attachment.

Z Test for Differences in Two ...

Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.

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