Question

(1 point) Suppose that we are to conduct the following hypothesis test:

H0:H1:μμ=>990990H0:μ=990H1:μ>990

Suppose that you also know that σ=240σ=240, n=80n=80, x¯=1030.8x¯=1030.8, and take α=0.01α=0.01. Draw the sampling distribution, and use it to determine each of the following:

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:

A. Reject H1H1.
B. Reject H0H0.
C. Do Not Reject H0H0.
D. Do Not Reject H1H1.

Answer 1

To Test :-

H0:μ=990

H1:μ>990

Test Statistic :-


Z = 1.5205

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

P value P ( Z > 1.52 ) = 1 - P ( Z < 1.52 ) = 0.0642

Conclusion :- Accept Null Hypothesis  μ=990

Option C. Do Not Reject H0 is correct.