Question

Describe the two possible outcomes of the​ test, using the context of the given situation. The governor claims that the percentage of adults over 21 who have graduated from high school is greater than 78​%,the national average.

Answer 1

The two possible outcomes of the test are accepting the governor's claim or rejecting it.

Explanation:

To test the governor's claim, a hypothesis test can be conducted using a sample of adults over 21. The null hypothesis would be that the percentage of adults over 21 who have graduated from high school is equal to or less than 78%, while the alternative hypothesis would be that it is greater than 78%.

If the test results in a p-value that is smaller than the chosen significance level (typically 0.05), the null hypothesis would be rejected. This would mean that there is enough evidence to support the governor's claim that the percentage of adults over 21 who have graduated from high school is indeed greater than 78%.

On the other hand, if the test results in a p-value that is greater than the chosen significance level, the null hypothesis would be accepted. This would mean that there is not enough evidence to support the governor's claim, and it is possible that the percentage of adults over 21 who have graduated from high school is not greater than 78%.