ose 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 ca le from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypot mative hypothesis, H₁, as follows. Ho: μ=6 H₁: μ#6 pose you also know the following information. The value of the test statistic based on the sample is -1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) -1.745 Step 3: Shade the area represented by the p-value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Dose 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 can
ple from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypoth
native hypothesis, H₁, as follows.
Ho: μ=6
H₁: μ#6
ppose you also know the following information.
The value of the test statistic based on the sample is -1.745 (rounded to 3 decimal places).
The p-value is 0.081 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
-1.745
Step 3: Shade the area represented by
the p-value.
Explanation
Check
Ⓒ2022 McGraw Hill LLC. All Rights Reserved.
Term
Transcribed Image Text:Dose 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 can ple from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypoth native hypothesis, H₁, as follows. Ho: μ=6 H₁: μ#6 ppose you also know the following information. The value of the test statistic based on the sample is -1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) -1.745 Step 3: Shade the area represented by the p-value. Explanation Check Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Term
Step 4: Enter the p-value.
(Round to 3 decimal places.)
0.081
(b) Based on your answer to part (a), which statement below is true?
0000
Z=-1.745
Explanation
Check
0.1-
EN
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.
Since the p-value is greater than the level of significance, the null hypothesis is rejected.
Since the p-value is greater than the level of significance, the null hypothesis is not rejected.
X
X
Ⓒ2022 McGraw Hill LLC. All Rights Reserv
Transcribed Image Text:Step 4: Enter the p-value. (Round to 3 decimal places.) 0.081 (b) Based on your answer to part (a), which statement below is true? 0000 Z=-1.745 Explanation Check 0.1- EN Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. X X Ⓒ2022 McGraw Hill LLC. All Rights Reserv
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