Suppose there is a claim that a certain population has a mean, µ, that is greater than 5. 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. H: µ>5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.359 (rounded to 3 decimal places). The p-value is 0.087 (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 01+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) (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.
Suppose there is a claim that a certain population has a mean, µ, that is greater than 5. 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. H: µ>5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.359 (rounded to 3 decimal places). The p-value is 0.087 (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 01+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) (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.
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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Transcribed Image Text:Suppose there is a claim that a certain population has a mean, µ, that is
greater than 5. 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.
H1: µ>5
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.359
(rounded to 3 decimal places).
The p-value is 0.087 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Normal Distribution
1: Select one-tailed
two-tailed
O One-tailed
O Two-tailed
0.3+
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.2+
Step 3: Shade the area represented by
the p-value.
0.1-
Step 4: Enter the p-value.
(Round to 3 decimal places.)
(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.
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.
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