### Hypothesis Testing ScenarioConsider the following hypothesis test:\[H_0: \mu_1 - \mu_2 \le 0\]\[H_a: \mu_1 - \mu_2 > 0\]The following results are for two independent samples taken from the two populations.| | Sample 1 | Sample 2 ||-----------|-----------------|-----------------|| \(n_1 = 40\) | \(n_2 = 50\) || \(\bar{x}_1 = 25.7\) | \(\bar{x}_2 = 22.8\) || \(\sigma_1 = 5.2\) | \(\sigma_2 = 6\) |### Questions:**(a)** What is the value of the test statistic? (Round your answer to two decimal places.)**Answer:** \[ \boxed{} \]**(b)** What is the \( p \)-value? (Round your answer to four decimal places.)**Answer:** \[ \boxed{} \]**(c)** With \(\alpha = 0.05\), what is your hypothesis testing conclusion?- ⃝ Reject \( H_0 \). There is insufficient evidence to conclude that \(\mu_1 - \mu_2 > 0\).- ⃝ Do not reject \( H_0 \). There is insufficient evidence to conclude that \(\mu_1 - \mu_2 > 0\).- ⃝ Do not Reject \( H_0 \). There is sufficient evidence to conclude that \(\mu_1 - \mu_2 > 0\).- ⃝ Reject \( H_0 \). There is sufficient evidence to conclude that \(\mu_1 - \mu_2 > 0\).**Answer:** \[ \boxed{} \]

Given data: Significance level = 0.05 From the given hypothesis, the test is Right tailed test.

Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

You wish to test the following claim (Ha) at a significance level of a = 0.01. Id:°H На : Рі — Р2 <0 P2 = 0 You obtain 69 successes in a sample of size n1 = sample of size n2 = 603 from the second population. 274 from the first population. You obtain 195 successes in a What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... There is enough evidence to show that the first population proportion is not less than the second population proportion. O There is not enough evidence to show that the first population proportion is not less than the second population proportion. There is enough evidence to show that…
I need both these questions pls help me I'll rate otherwise skip it's my request
Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.16. You use a significance level of a = 0.01. Но:р — 0.16 H1:p > 0.16 You obtain a sample of size n = 621 in which there are 104 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null Ofail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O The sample data support the claim that the…
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: M₁ M₂ = 0 На: M1 - M2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 n1 = 80 X1 = 104 01 8.2 02 (a) What is the value of the test statistic? (Round your answer to two decimal places.) Sample 2 = = 70 n₂ = x₂ = 106 = 7.2 (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? - Do not Reject Ho. There is sufficient evidence to conclude that µ₁ − µ₂ ‡ 0. Reject Ho There is sufficient evidence to conclude that μ₁ - M₂ + 0. Reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ 0. Do not reject Ho. There is insufficient evidence to conclude that µ₁ − µ₂ ‡ O.
These are the summary statistics for independent simple random samples from two populations. x1=23, s1=2, n1=10, x2=29, s2=7, n2=25 Left tailed test, significance level is 0.05 or 95% What is the test statistic, critical value, and conclusion for the hypothesis test?
-what kinds of questions can we test with a t test? -How do you know if two samples are statistically different from each other? In other words, what statistics will tell you if your results are statistically significant?
following hypothesis test for matched data: Но : ld H1 : Hd + 0 For a sample of 18, it was found that d = 2.9 and sa = 3.56. Determine each of the following: The value of the test statistic: For a = 0.025, the final conclusion is O A. There is enough evidence to say that Hd = 0 B. There is enough evidence to say that ud # 0 C. There is not enough evidence to say that ld = 0 D. There is not enough evidence to say that Hd + 0.
A sample of 100 yielded a test statistic of 2.1. For a level of significance of 0.05, the null hypothesis was rejected. What was the sample proportion for the sample of .1 100? What was the p-value for this test? 0.864
Consider the hypothesis test below. Ho : P1 – P2 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 100 n2 = 300 P1 = 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? Select your answer -
Consider the following hypothesis test. Ho: H1 - H2 = 0 Ha: H1 - 42 # 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 35 = 40 = 13.6 X, = 10.1 S1 5.8 S2 = 8.1 (a) What is the value of the test statistic? (Use x, - x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? Do not Reject Ho: There is sufficient evidence to conclude that u, - µ, ± 0. Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0. Do not Reject Ho. There is insufficient evidence to conclude that u, - H, + 0. 0' Reject Ho. There is insufficient evidence to conclude that u1 - µ2 ± 0.
You are conducting a study to determine if there is a significant difference between typical salaries of surgeons and stock brokers (in thousands of dollars). Calculate the test-statistic, t with the following sample data.n1=20 x¯1=163, s1=4n2=50, x¯2=162, s2=9 Round to 2 decimal places

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS