Suppose that we are to conduct the following hypothesis test: H0: =1020 H1: >102
ID: 3072923 • Letter: S
Question
Suppose that we are to conduct the following hypothesis test: H0: =1020 H1: >1020 Suppose that you also know that =230, n=95, x¯=1068.3, and take =0.05. 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) is expressed (-infty, a), an answer of the form (b,) is expressed (b, infty), and an answer of the form (,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. Do Not Reject H1.
B. Reject H1.
C. Reject H0.
D. Do Not Reject H0.
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 1020
HA : > 1020
Standard deviation = 230
Hypothesis test results:
Hence,
A) Test statistic = 2.0469
B) Rejection region: (1.645, infty)
C) p - Value = 0.0203
D) Reject H0
Mean n Sample Mean Std. Err. Z-Stat P-value 95 1068.3 23.597502 2.0468268 0.0203Related Questions
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