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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(a) A statistical test at significance level a = 0.05 has power 0.78. What are the probabilites of Type I and Type II errors for this test? Give your answers to two decimal places. P (Type I error) = P (Type II error) = (b) A statistical test at the a = 0.01 level has probability 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative? Give your answer to two decimal places. power:
The summary statistics for a certain set of points are: n=25, s = 121.69, Σ (x-x)² =42.30, and b₁ = 24.99. Use the critical value method to test the null hypothesis Ho : B₁ = = 0 versus H₁ B₁ +0. Use the a= 0.05 level of significance. Part: 0 / 4 Part 1 of 4 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0,0,... X +0 Ś
Test the claim about the difference between two population means H, and l, at the level of significance a. ASsume the samples are random and independent, and the populations are normally distributed. Claim: μ1 μ2 α= 0.01 Population statistics: o, = 3.5, o2 = 1.4 Sample statistics: x, = 17, n, = 31, x2 = 15, n2 = 30 Determine the alternative hypothesis. Hai H1 H2 Determine the standardized test statistic. (Round to two decimal places as needed.)
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.
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…
Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 = H2; a = 0.01 Population statistics: o, = 3.5, o2 = 1.4 Sample statistics: x, = 17, n, = 31, X2 = 15, n2 = 30 Determine the alternative hypothesis. Ha: H1 # H2 Determine the standardized test statistic. z= 2.95 (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.)
11:need help which the question.
AutoSave Off Ch13 60v13_10e (1) - File Home Insert Draw Page Layout Formulas Data Review View à From Text/CSV là Recent Sources T Queries & Connections là From Web LA Existing Connections Properties Get Refresh Data A From Table/Range All - A Edit Links Get & Transform Data Queries & Connections v X v fx H19 C D F ANOVA table 2 Source SS df MS 3 Regression 4 Residual 5 Total 1870.5782 1 1870.5782 41.39 1265.4934 28 45.1962 3136.0716 29 6. 7 8 Regression output 9 Variables 10 Intercept Coefficients Std. Error t(df=28) 13.76015 3.106 2.914 11 Distance-X 3.77085 7.977 6.427 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.
A large cookie company claims the average amount of sodium per cookie is 200 mg. You suspect that the sodium content is different than that, so you take a random sample of 36 cookies and research the nutritional content. You then conduct a hypothesis test that μ = 200 vs. the alternative that μ ≠ 200. (a) The standardized test statistic for your sample is 2.7. The P-value would then be: A) 0.9965 B) 0.4983 C) 0.0070 D) 0.0035 Selection: (b) Which would be the correct decision for your hypothesis test? A) Reject H0 B) Do not reject H0 Selection: (c) A Type I Error in this situation would be: A) Concluding that μ ≠ 200 when in fact μ = 200 is true. B) Concluding that μ = 200 when in fact μ ≠ 200 is true. C) Concluding that μ = 200 when in fact μ = 200 is true. D) Concluding that μ ≠ 200 when in fact μ ≠ 200 is true. Selection:
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 12 workers and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6. 7 8. 9. 10 11 12 Process 1 85 63 46 85 83 70 64 51 48 69 67 52 Process 2 88 46 43 61 80 51 59 53 23 46 59 52 Difference - 3 17 3 24 19 5 -2 25 23 8 (Process 1 - Process 2) Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding u, (which is with a letter "d" subscript), the population…

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