Suppose there is a claim that a certain population has a mean, u, that is greater than 8. 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 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. H₁: μ = 8 H₁: μ>8 Suppose you also know the following information. The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places). The p-value is 0.043 (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 Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) -1 0.3+ 0.2 0.1+ X (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 5 X 5
Suppose there is a claim that a certain population has a mean, u, that is greater than 8. 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 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. H₁: μ = 8 H₁: μ>8 Suppose you also know the following information. The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places). The p-value is 0.043 (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 Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) -1 0.3+ 0.2 0.1+ X (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 5 X 5
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is greater than 8. 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 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative
hypothesis, H₁, as follows.
Ho: μ = 8
H₁: μ>8
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places).
The p-value is 0.043 (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.
One-tailed
Two-tailed
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
Step 3: Shade the area represented by
the p-value.
Step 4: Enter the p-value.
(Round to 3 decimal places.)
0.3
0.2 +
0.1
(b) Based on your answer to part (a), which statement below is true?
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.
O 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
Ś
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