Question

PRACTICE ANOTHER A random sample of 100 people was taken. Eighty-two of the people in the sample favored Candidate A. We are interested in determining whether the proportion of the population in favor of Candidate A is significantly more than 79%. We know that the p-value is 0.2307. At the 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is

Answer 1

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Explanation:

We are interested in determining whether the proportion of the population in favor of Candidate A is significantly more than 79%.

This means that the null hypothesis is:

`H_(0): p = 0.79`

And the alternate hypothesis is:

`H_(a): p > 0.79`

We know that the p-value is 0.2307. At the 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is?

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.