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Suppose there is a claim that a certain population has a mean, µ, that is equal to 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, H and the alternative hypothesis, H, as follows. Ho H-6 H: u#6 Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed O Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 0. H Step 3: Shade the area represented by the p- value. (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 not rejected. o Since the p-value is greater than the level of significance, the null hypothesis is rejected. a Since the p-value is greater than the level of significance, the null hypothesis is not rejected. equal to) the level of significance, the null hypothesis is

Suppose there is a claim that a certain population has a mean, µ, that is equal to 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, H and the alternative hypothesis, H, as follows. Ho H-6 H: u#6 Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed O Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 0. H Step 3: Shade the area represented by the p- value. (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 not rejected. o Since the p-value is greater than the level of significance, the null hypothesis is rejected. a Since the p-value is greater than the level of significance, the null hypothesis is not rejected. equal to) the level of significance, the null hypothesis is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose there is a claim that a certain population has a mean, u, that is equal to 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, H, and the alternative hypothesis, H, as follows. 国 Hoi u=6 Hi u#6 An Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (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. 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.
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is equal to 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, H, and the alternative hypothesis, H, as follows. 国 Hoi u=6 Hi u#6 An Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (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. 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.
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