Answer: the correct option is B
Explanation:
The question is incorrect. The correct one is:
Suppose the null hypothesis is rejected. State the conclusion based on the results of the test. Six years ago, 11.4% 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 sufficient evidence to conclude that the percentage of teenage mothers has increased. b. there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same. c. there is not sufficient evidence to conclude that the percentage of teenage mothers has increased. d. there is sufficient evidence to conclude that the percentage of teenage mothers has remained the same.
Solution:
This is a test of two population proportions. We would set up the hypothesis. The given proportion is 11.4/100 = 0.114
For the null hypothesis,
p = 0.114
For the alternative hypothesis,
p < 0.114
Since the null hypothesis is rejected, it means that there was sufficient evidence to reject it and the alternative hypothesis is accepted. the correct conclusion would be
b. there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.