1.Suppose the null hypothesis is not rejected. State the conclusion based on the

Question

1.Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test.

Six years? ago, 11.9?% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then.

Which of the following is the correct? conclusion?

A. There is 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 increased.

C. There is not sufficient evidence to conclude that the percentage of teenage mothers has increased.

D. There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.

2.To test Upper H 0?: muequals50 versus Upper H 1?: mu less than50?, a random sample of size n equals25 is obtained from a population that is known to be normally distributed.

If x overbarequals47.6 and s equals12.9?, compute the test statistic.

3. The null and alternative hypotheses are given. Determine whether the hypothesis test is? left-tailed, right-tailed, or? two-tailed. What parameter is being? tested?

Upper H 0?: p equals 0.5

Upper H 1?: p not equals 0.5

What type of test is being conducted in this? problem?

Right?-tailed test

Two?-tailed test

Left?-tailed test

Explanation / Answer

Q.1) Given that, the null hypothesis is not rejected.

Alternative hypothesis is that the percentage has increased.

Therefore correct conclusion is,

There is not sufficient evidence to conclude that the percentage of teenage mothers has increased.

Q.2) Given that the null amd alternative hypotheses are,

H0: p equals 0.5

H1: p not equals 0.5

Here we conduct Two-tailed test.

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