Answered: (b) Based on your answer to part (a),… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

(b) Based on your answer to part (a), choose the correct statement.
The value of the test statistic lies in the rejection region.
O The value of the test statistic doesn't lie in the rejection region.
X
?
(c) Based on your answer to part (b), which statement below is true at the 0.10 level of significance?
The null hypothesis should be rejected.
O The null hypothesis should not be rejected.
X Ś
?

Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random
sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis Ho and the alternative
hypothesis H₁ as follows.
Ho: μ = 6
H₁: μ #6
Suppose you also know the following information.
The critical values are -1.645 and 1.645 (rounded to 3 decimal places).
The value of the test statistic is -2.372 (rounded to 3 decimal places).
(a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.
Standard Normal Distribution
04
Step 1: Select one-tailed or two-tailed.
O One-tailed
0.3+
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2+
0.1+
Step 3: Enter the test statistic.
(Round to 3 decimal places.)

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