Suppose that a sample has been drawn from a normal population to conduct the hyp

Question

Suppose that a sample has been drawn from a normal population to conduct the hypothesis test H_0: sigma^2 = 27 H_1: sigma^2 > 27 Assume that you know that the sample variance is s^2 = 49, the sample size is n = 23, and take alpha = 0.06. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: A. Reject H_1. B. Do Not Reject H_1. C. Do Not Reject H_0. D. Reject H_0.

Explanation / Answer

(A)

T=(N1)(s/0)^2

T = (23 - 1)*(49/27) = 39.93

(B)

Critical values:

21-,N-1 = 33.13

Rejection Region is (33.13, infy)

(C)

p-value = 0.011

(D)

As p-value is less than the significance level (also calculted value of statistics falls into rejection region) we reject the null hypothesis

Hence Option (D) is correct

Test Statistic:

T=(N1)(s/0)^2

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.