Question

Can someone explain why the answer is A please?

Exercise Suppose a test of Ho:u = 7 and Ha: #7 is run with a = 0.05. The P-value of the test is 0.065. A confidence interval for u is also constructed. Of the following, which is the largest confidence level for which the confidence interval will NOT contain 7? A) 93% B) 94% C) 95% D) 96% E) 90%

Answer 1

TOPIC:P-value,confidence interval and hypothesis testing.

- The answer is - @ 93 %. = Explanation - Let u= Population mean. To test, Ho : M = 7 vs. Ha :M87. The obtained p-value is = 0.065. we know, if à a significance level, then, the confidence level is = 100/1-2%.

ine. , Jon confidence level. 93% X=0.07 x=0.06 X20:05 x=0.04 a=0.10, 4 " • 94 r. 95% 96r. 4 4 " L and 90%. So, the choice of an = {0.07, 0.06, 0.05, 0.04, 0.10% Given that, the obtained confidence interval will not contain 7. (ine we should reject the null hypothesis (ro) The do is rejected at level a'; only when, p-value Ex. Here, p-value = 0.065. So, to reject to the value of a must be at that at least 0.065. (ne. s' should not be 0.065 on more). So, from the choices of 'a', the only vahe value of a which exceeds 0. 065, is = 0.07, which connesponds to the 93 7. confidence level. & Answer- 93% | rang