Question

The test statistic of

z=1.76

is obtained when testing the claim that

p≠0.837.

a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed.

b. Find the​ P-value.

c. Using a significance level of

α=0.05​,

should we reject

H0

or should we fail to reject

H0​?

Answer 1

a. The hypothesis test is two-tailed. b. The p-value is approximately 0.274. c. We fail to reject the null hypothesis.

Step-by-step explanation:

a. The hypothesis test is two-tailed because the claim is that p is not equal to 0.837.

b. To find the p-value, we need to calculate the area under the z-score curve for the given test statistic. Since the z-score is positive, we need to calculate the area to the right tail of the z-test. Using a standard normal distribution table or calculator, we find that the p-value is approximately 0.274.

c. The significance level is given as α = 0.05. Since the p-value (0.274) is greater than the significance level (0.05), we do not have enough evidence to reject the null hypothesis (H0). Therefore, we fail to reject the null hypothesis.