Question

In a hypothesis test with hypotheses H.:P 50.58 and Hp > 0.58, a random sample of size 1,165 produced a sample proportion of 0.6160. The test is to be made at the 2.5% significance level.

What is the p-value for this hypothesis test, rounded to four decimal places?

Answer 1

The p-value for this hypothesis test is 0.0417. We reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

Step-by-step explanation:

The p-value for this hypothesis test is 0.0417. The p-value represents the probability of obtaining a sample proportion of 0.6160 or an even more extreme value, assuming that the null hypothesis is true. Since the p-value is less than the significance level of 0.025 (divided by 2 for a two-tailed test), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis, which is that the true proportion is greater than 0.58.