Question

Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Six years ago; 11.3% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then. Which of the following is the correct conclusion?

a.There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.
b.There is sufficient evidence to conclude that the percentage of teenage mothers has decreased.
c.There is not sufficient evidence to conclude that the percentage of teenage mothers has decreased.
d.There is sufficient evidence to conclude that the percentage of teenage mothers has remained the same

Answer 1

The correct conclusion is that there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.

Step-by-step explanation:

The correct conclusion is a. There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.

In hypothesis testing, when the null hypothesis is not rejected, it means there is not enough evidence to support the alternate hypothesis. In this case, the sociologist's belief that the percentage of teenage mothers has decreased is not supported by the data. Therefore, the correct conclusion is that there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.