Suppose there is a claim that a certain population has a mean, μ, that is less than 7. 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. Họ: u=7 H₁: μ<7 Suppose you also know the following information. The value of the test statistic based on the sample is -1.685 (rounded to 3 decimal places). The p-value is 0.046 (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 O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) -1.685 Step 3: Shade the area represented by 0.3+ 02-

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Suppose there is a claim that a certain population has a mean, u, that is less than 7. 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=7
H₁: μ<7
Suppose you also know the following information.
The value of the test statistic based on the sample is -1.685 (rounded to 3 decimal places).
The p-value is 0.046 (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.)
-1.685
Step 3: Shade the area represented by
the p-value.
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is less than 7. 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=7 H₁: μ<7 Suppose you also know the following information. The value of the test statistic based on the sample is -1.685 (rounded to 3 decimal places). The p-value is 0.046 (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.) -1.685 Step 3: Shade the area represented by the p-value.
Step 4: Enter the p-value.
(Round to 3 decimal places.)
0.046
Area = 0.046
0000
z=1.685
F1
0.1-
X
(b) Based on your answer to part (a), which statement below is true?
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-va is greater than the level of significance, the null hypothesis is not rejected.
Undo
X
Transcribed Image Text:Step 4: Enter the p-value. (Round to 3 decimal places.) 0.046 Area = 0.046 0000 z=1.685 F1 0.1- X (b) Based on your answer to part (a), which statement below is true? 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-va is greater than the level of significance, the null hypothesis is not rejected. Undo X
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