Hypothesis test for two different population proportions.
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 percentage of dogs that sleep more than 10 hours per day?
1. 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 as the test value -0.65 is inside the acceptance region (-1.96,1.96).
2. 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 as the test value -2.14 is outside the acceptance region (-1.96,1.96).
3. 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 for the reason that the test value -1.40 is inside the acceptance region (-1.96,1.96).
4. 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 as the test value -2.47 is outside the acceptance region (-1.96,1.96).