Z-Test &#x03BC;<!-- μ --> &lt; 40 <mspace linebreak="newline" /> z = &#x2212;

Estrella Le

Estrella Le

Answered question

2022-06-01

Z-Test
μ < 40 z = 2.105263158 p = .017634141 x ¯ = 38 n = 100
(c) Based on your selection from part (b), what is the value of the standardized test statistic for this significance test?
(d) Based on your selection from part (b), what is the P-value for this significance test?
(e) What is the correct decision for this test, using a 0.05 level of signifcance?
A) Reject the null hypothesis
B) Do not reject the null hypothesis

Answer & Explanation

Zakalomyrpcc

Zakalomyrpcc

Beginner2022-06-02Added 2 answers

(c)
From the given output, the value of the standardized test statistic is -2.1053.
Thus, the value of the standardized test statistic is -2.1053.
(d)
From the given output, the P-value is 0.0176.
Thus, the P-value is 0.0176.
Alani Patrick

Alani Patrick

Beginner2022-06-03Added 1 answers

(e)
Decision rule:
If P v a l u e α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis.
Conclusion:
The P-value (0.0176) is less than the level of significance (0.05).
Based on decision rule, reject the null hypothesis.
Correct Answer: A) Reject the null hypothesis.

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