Suppose there is a claim that a certain population has a mean, μ, that is different than 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, Ho, and the alternative hypothesis, H₁, as follows. Ho: μ = 6 H₁: μ‡6 Suppose you also know the following information. The value of the test statistic based on the sample is -1.896 (rounded to 3 decimal places). The p-value is 0.058 (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.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 04 0.3+ 0.2- 0.1+
Suppose there is a claim that a certain population has a mean, μ, that is different than 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, Ho, and the alternative hypothesis, H₁, as follows. Ho: μ = 6 H₁: μ‡6 Suppose you also know the following information. The value of the test statistic based on the sample is -1.896 (rounded to 3 decimal places). The p-value is 0.058 (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.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 04 0.3+ 0.2- 0.1+
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Suppose there is a claim that a certain population has a mean, u, that is different than 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, Ho, and the
alternative hypothesis, H₁, as follows.
Hg: μ = 6
H₁: µ‡6
Suppose you also know the following information.
The value of the test statistic based on the sample is - 1.896 (rounded to 3 decimal places).
The p-value is 0.058 (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.)
-2
0.4
0.3
0.2-
0.1
2
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33bf65d4-1388-49d2-8bed-4f9b21effc49%2F4feb4c9e-68ae-46f3-bcc6-976dcbca35f4%2F2frmq2g_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is different than 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, Ho, and the
alternative hypothesis, H₁, as follows.
Hg: μ = 6
H₁: µ‡6
Suppose you also know the following information.
The value of the test statistic based on the sample is - 1.896 (rounded to 3 decimal places).
The p-value is 0.058 (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.)
-2
0.4
0.3
0.2-
0.1
2
3
![(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.)
04
1000
0.3+
0.2
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-value is greater than the level of significance, the null hypothesis is not rejected.
Ś
X
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33bf65d4-1388-49d2-8bed-4f9b21effc49%2F4feb4c9e-68ae-46f3-bcc6-976dcbca35f4%2Fdtrbstp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(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.)
04
1000
0.3+
0.2
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-value is greater than the level of significance, the null hypothesis is not rejected.
Ś
X
3
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