Question

We are conducting a test of the hypotheses

(H0:p=0.8)

versus

(Ha:p≠0.8)

.

We find a p-value of 0.0062. What conclusion can be made about these hypotheses?

Select one or more:

a. There is evidence to suggest that the proportion is not 0.8.

b. There is not enough evidence to suggest that the proportion is 0.8.

c. We should reject the null hypothesis.

d. We should NOT reject the null hypothesis.

e. We cannot make any conclusion based on the information we have.

f. There is not enough evidence to suggest that the proportion is not 0.8.

g. There is enough evidence to suggest that the proportion is 0.8.

Answer 1

What conclusion can be made about these hypotheses?

a. There is evidence to suggest that the proportion is not 0.8.

b. There is not enough evidence to suggest that the proportion is 0.8.

c. We should reject the null hypothesis.

Explanation:

We are given

P-value = 0.0062

So, this P-value is very less and it is less than default alpha value 0.05, so we reject the null hypothesis. So, there is sufficient evidence to conclude that the population proportion is not equal to 0.8. In other words, there is not sufficient evidence to conclude that the population proportion is equal to 0.8.