Question

The business college computing center wants to determine the proportion of business students who have personal computers (PCs) at home. If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 24. Find the P-value for a two-tailed test of hypothesis.

A) 0.4836
B) 0.4918
C) 0.0164
D) 0.0062 .9918

Answer 1

The p-value is 0.4836 for a two-tailed test of hypothesis with a test statistic of 24.

Step-by-step explanation:

The p-value is the probability of obtaining a test statistic as extreme as the one calculated, assuming the null hypothesis is true. In this case, the question states that the test statistic is 24.

Since this is a two-tailed test, we need to find the area in both tails of the distribution.

The p-value is equal to the sum of the areas in both tails.

To find the p-value, we can use a standard normal distribution table or a calculator.

Plugging in the test statistic of 24 into either method, we find that the p-value is approximately 0.4836, which corresponds to option A.