Suppose there is a claim that a certain population has a mean, u, that is different than 5. You want to test this claim. To do so, you collect a large randomsample 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 thealternative hypothesis, H,, as follows.Ho: H= 5H: µ +5Suppose you also know the following information.The value of the test statistic based on the sample is -1.526 (rounded to 3 decimal places).The p-value is 0.127 (rounded to 3 decimal places).(a) Complete the steps below for this hypothesis test.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed03Step 2: Enter the test statistic.(Round to 3 decimal places.)0.2Step 3: Shade the area represented bythe p-value.0.1+ O One-tailedO Two-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.)0.30.2-Step 3: Shade the area represented bythe p-value.0.1-Step 4: Enter the p-value.(Round to 3 decimal places.)-3-1b) 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.

Answered: Suppose there is a claim that a certain…

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…
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Suppose there is a claim that a certain population has a mean, µ, that is different 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 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (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 Step 1: Select one-tailed or two-tailed. One-tailed 0.3 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.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…
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