Determine (a) the x² test statistic, (b) the degrees of freedom, (c) the critical value using a = 0.05, and (d) test the hypothesis at the a= 0.05 level of significance.1Ho: PA PB = Pc =PD=4H₁: At least one of the proportions is different from the others.(a) The test statistic is(Type an exact answer.)(b) There are degrees of freedom.(c) The critical value is(Round to three decimal places as needed.)(d) Should the null hypothesis be rejected?O A. Yes because x is less than or equal to x6.05.OB. No because x is less than or equal to x6.05-OC. Yes because x is greater than 0.05-O D. No because x is greater than 0.05OOutcomeObservedA B36 42Expected 40 40с4240Do4040

We have given that the null and alternative hypothesis are H0 : pA = pB = pC = pD H1 : at least one…

Answered: Determine (a) the x² test statistic,…

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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Independent random samples from normal populations produced the results shown in the table to the right. Assume that the population variances are equal. Complete parts a through d below. a. Calculate the pooled estimate of o². 2 S. = (Round to four decimal places as needed.) b. Do the data provide sufficient evidence to indicate that μ₂ > μ₁? Test using α = 0.10. What are the null and alternative hypotheses? OA. Ho: H₁-H₂ = 0.10 Hai H- Hy 20.10 OC. Ho: H₁-H₂=0 Ha H-Hz0 Ş H₂ = 0.10 Ha: H - Hz≤0.10 Vi (1,0) Sample 1 1.3 2.9 1.6 2.9 2.8 More Sample 2 4.4 2.6 3.8 4.1
Test the claim about the population mean, μ,at the given level of significance using the given sample statistics. Claim: μ=50; α=0.08; σ=3.95. Sample statistics: x=49.7, n=67 a. Identify the null and alternative hypotheses b. Calculate the standardized test statistic. c. Determine the critical value(s). d. Determine the outcome and conclusion of the test.
Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H 1: p≠0.377, the test statistic is z=3.06.
Consider the following data for a dependent variable y and two independent variables, x, and X2. X1 | X2 y 30 12 93 47 10 108 17 112 51 16 178 40 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 213 The estimated regression equation for these data is ý = -20.24 + 2.04x, + 4.78x2. Here, SST = 15,563.6, R = 14,417.6, = 0.2488, and = 0.9548. zas 25
p 15 Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15 rating? At the alpha = 0.05 level of significance, test the claim that SPF 30 sunscreen is better at preventing sunburn than 15 sunscreen. Let represent the proportion of SPF 15 sunscreen wearers who get a sunburn and represent the proportion of SPF 30 sunscreen wearers who get a sunburn. (Round your results to three decimal places) 1. Which would be correct hypotheses for this test? O O H 0 :p 15 =p 30 , H 1 :p 15 ne p 30 H 0 :p 15 =p 30 , H H 1 :p 15 <p 30 O H 0 :p 15 <p 30 ,H 1 :p 15 >p 30 O H 0 :p 15 =p 30 H 1 :p 15 >p 30 A random sample of 250 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour10 of them later reported a sunburn. Another random sample of 250 beach- goers were given SPF 30 sunscreen and asked to lay in the sun for 1 hour. 7 of them later reported a sunburn. 2.Find the test statistic 3. Give the P-value: answer only…
Find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported? Ho: μ = 19.1 meters, H₂: μ# 19.1 meters, n=144, x= 18.4 meters, o = 1.4 meters The value of the standard score is (Round to two decimal places as needed.) The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Determine whether the alternative hypothesis is supported at a 0.01 significance level. O A. The standard score is at least as extreme as the critical value(s). Reject Ho. The alternative hypothesis is supported. OB. The standard score is at least as extreme as the critical value(s). Do not reject Ho. The alternative hypothesis is not supported. C. The standard score is less extreme than the critical value(s). Reject Ho. The alternative hypothesis is supported. D. The standard score is less extreme than the critical value(s). Do not reject Ho. The alternative…
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Test the claim about the population mean μ at the level of significance a. Assume the population is normally distributed. Claim: μ<4915; a = 0.02 Sample statistics: x=5017, s=5613, n = 54 What are the null and alternative hypotheses? Ho: μ 4915 Ha: μ < 4915 (Type integers or decimals. Do not round.) Find the standardized test statistic t. t = 0.13 (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.)
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