Exhibit 19-6
Forty-one individuals from a sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the proportions of opponents and proponents of legalized abortion.
-Refer to Exhibit 19-6. p-value is
A)0.0023
B)0.0046
C)0.4954
D)0.4977

Question

Quizplus · Accepted Answer

We do not have information on the proportion of proponents of legalized abortion in the sample, so we cannot conduct a two-sample proportion test. However, we can conduct a one-sample proportion test to determine whether the proportion of opponents in the sample is significantly different from a hypothesized proportion (e.g. 0.5 if we assume there are equal proportions of opponents and proponents in the population). Using a one-sample proportion test with a null hypothesis of p=0.5 and an alternative hypothesis of p<0.5 (since we are interested in whether there is a significant difference in favor of opponents), we can calculate the p-value to be 0.0046. Since this p-value is less than 0.05 (the typical alpha level for significance), we can reject the null hypothesis and conclude that there is a significant difference between the proportions of opponents and proponents of legalized abortion in the sample.

Exhibit 19-6 Forty-One Individuals from a Sample of 60 Indicated They Oppose