**Hypothesis Test for the Difference of Population Means: Z Test**The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year. To determine whether they still air the same number of commercials, a random and independent sample of 70 recent prime-time airings from both networks was considered. - The first network aired a mean of 110.9 commercials during prime time with a standard deviation of 4.8.- The second network aired a mean of 109.1 commercials during prime time with a standard deviation of 4.7.Since the sample sizes are quite large:- Assume the population standard deviations are equal to the sample standard deviations: 4.8 and 4.7.- At the 0.05 level of significance, the evidence needs to support whether the mean number of commercials aired, \( \mu_1 \), by the first station is not equal to the mean number, \( \mu_2 \), by the second station. Perform a two-tailed test.**Steps to Complete:**(a) **State the Null and Alternative Hypothesis:**- \( H_0: \)- \( H_1: \)(b) **Determine the Type of Test Statistic to Use:** - (Choices provided in a dropdown menu)(c) **Find the Value of the Test Statistic:**- (Round to three or more decimal places) - [Input Box](d) **Find the Two Critical Values at the 0.05 Level of Significance:**- (Round to three or more decimal places) - [Input Boxes](e) **Conclusion:**- Can we support the claim that the mean number of commercials aired by the first station is not equal to the mean number aired by the second station? - Yes [ ] - No [ ]**Note:** Carry your intermediate computations to at least three decimal places. If necessary, consult a list of formulas. Use the symbols and equations provided on the right for assistance in formulating hypotheses and calculations.

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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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test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁>P2. The sample data are x₁ = 116, n₁ =249, x₂ = 138, and n₂ = 306. (a) Choose the correct null and alternative hypotheses below. OA. Ho: P₁ P₂ versus H₁: P₁ P2 B. Ho: P₁ = 0 versus H₁: P₁ #0 W OC. Ho: P₁ = P₂ versus H₁: P₁ P₂ OD. Ho: P₁ P2 versus H₁: P₁ P₂ w an example Get more help Clear all 17 e Check answer 6:51 PM 3/2/2024 C G
Z-Test Z-Test Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α = 0.05. Inpt: Data Statsu #70 Ho:70 o:3.75 x:68.75 In:40 H:Ho Ho Ho Calculate Draw Choose the correct answer below. O A. Since the P-value is greater than x, fail to reject the null hypothesis. OB. Since the P-value is greater than x, reject the null hypothesis. OC. Since the P-value is less than x, reject the null hypothesis. O D. Since the P-value is less than x, fail to reject the null hypothesis. z=2.10818511 p=0.03501498 x = 68.75 n=40
Conclusion: Print : 6. Suppose the hypotheses for a statistical test are Ho: P₁ P₂ vs H P P₂. For each possible confidence interval given below, state a conclusion of the test for that sample (either R for "Reject Ho" or DNR for "Do not reject Ho") and give the significance level used. (a) 95% confidence interval for p₁-P₂: -0.41 to 0.05 Conclusion: (b) 90% confidence interval for P₁-P₂: -0.53 to -0.12 (c) 99% confidence interval for P₁-P₂: -0.21 to 0.33 Conclusion: Find EP Immersive Reader Significance level: Significance level Significance level J
8.
5.24 please
(a) Write the claim mathematically and identify H0 and Ha. (b) Find the standardized test statistic z, and its corresponding area. (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret your decision in the context of the original claim.
Consider the data. xi 3 12 6 20 14 yi 60 40 65 5 15 Use the t test to test the following hypotheses (? = 0.05): H0: ?1 = 0 Ha: ?1 ≠ 0 Find the value of the test statistic. (Round your answer to three decimal places.) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
For the hypothesis system H0: u=c versus Ha: u doesn't equal c Give the absolute value of the calculated test statistics which would correspond to the standard P-value. Consider the population normally distributed. P-value= 0.026
MM
The test statistic in a left-tailed test is z=−0.59. Determine the P-value and decide whether, at the 10% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. The P-value is ___________ (Round to four decimal places as needed.) This P-value ________________ (provides, does not provide) sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because it is_____________(greater than, less than) the significance level.
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 -
Provide an appropriate response. Test the hypothesis that p1 = P2. Use a = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 35, and n2 = 60, x2 = 40 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis: Step 5) Write the conclusion. HTML Editor BIUA A、IE三= Ex x E 曲。 12pt Pa SAMSUNG 10

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