Question

The test statistic of Z= -3.35 is obtained when testing the claim that p<0.17. a. Using a significance level of a = 0.10, find the critical value(s). b. Should we reject Ho or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. The critical value(s) is/are z = (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Choose the correct conclusion below. O A. Fail to reject Ho. There is sufficient evidence to support the claim that p<0.17. O B. Fail to reject Ho. There is not sufficient evidence to support the claim that p<0.17. OC. Reject Ho. There is not sufficient evidence to support the claim that p<0.17. D. Reject Ho. There is sufficient evidence to support the claim that p<0.17. Click to select your answer(s).

Answer 1

Solution :

Given that ,

The null and alternative hypothesis is

H₀ : p = 0.17

H_a : p < 0.17

This is the left tailed test .

The Test statistic z = -3.35

$\alpha$ = 0.10

Z$\alpha$ = Z_{0.10 = -1.28}

The critical value Z = -1.28

-3.35 < -1.28

Test statistic < Critical value

Reject the null hypothesis .

D. Reject Ho . There is sufficient evidence to sopport the claim that P < 0.10

Correct option : - ( D)