A study of cats and dogs found that 39 of 60 cats and 21 of 50 dogs slept more than 10 hours per day. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportions of cats and dogs that sleep more than 10 hours per day?
A) Yes, because the test value 2.41 is outside the noncritical region -1.96

Question

A study of cats and dogs found that 39 of 60 cats and 21 of 50 dogs slept more than 10 hours per day. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportions of cats and dogs that sleep more than 10 hours per day?
A) Yes, because the test value 2.41 is outside the noncritical region -1.96 < z < 1.96.
B) Yes, because the test value 2.80 is outside the noncritical region -1.65 < z < 1.65.
C) Yes, because the test value 6.32 is outside the noncritical region -1.65 < z < 1.65.
D) Yes, because the test value 7.81 is outside the noncritical region -1.96 < z < 1.96.

Quizplus · Accepted Answer

The test value 2.41 is outside the noncritical region -1.96 < z < 1.96, indicating a significant difference at the 0.05 level.

A Study of Cats and Dogs Found That 39 of 60