Question

There is a claim from the 1960s that 35% of women had college educations in the 60s. To prove it had increased in the 70s, we randomly pulled education records of 395 women and found that 161 had college educations. Running a hypothesis test, we found a p-value of 0.0088. The interpretation of the p-value is___.

Answer 1

The interpretation of the p-value is that there is sufficient evidence to reject the claim that 35% of women had college educations in the 60s. The p-value is the probability of obtaining a test statistic as extreme as the one observed, or more extreme, given that the null hypothesis is true.

Step-by-step explanation:

The interpretation of the p-value in this case is that there is sufficient evidence to reject the claim that 35% of women had college educations in the 60s. The p-value is the probability of obtaining a test statistic as extreme as the one observed, or more extreme, given that the null hypothesis is true. A p-value of 0.0088 is less than the commonly used significance level of 0.05, indicating strong evidence against the null hypothesis.

Since the p-value is less than 0.05, we reject the null hypothesis and conclude that the proportion of women with college educations has increased from the 60s to the 70s.