Question

A random sample of 1000 families of Bus County showed that 685 families adopted at least one dog. Use these numbers to test the claim that more than 70% of families in Bus County adopted at least one dog, using α =0.10.

Answer 1

Total number of sample (n) = 1000
number of favourable events (X) = 685

We are interested in testing the hypothesis

Since, the test is two-tail test at \alpha = 0.1

Decision Rule: Reject the null hypothesis if the test statistic value is greater than the critical value 1.28155
The statistic value, -1.0351 is less than the critical values 1.28155. Therefore, we fail to reject the null hypothesis.