Determine if the conditions required for the normal approximation to the binomial aremet. If so, calculate the test statistic, determine the critical value(s), and use that todecide whether there is sufficient evidence to reject the null hypothesis or not at thegiven level of significance.Ho :p = 0.85H1 :p 0.85p = 0.782n= 128a = 0.2a. Calculate the test statistic.Round to two decimal places if necessaryEnter 0 if normal approximation to the binomial cannot be usedb. Determine the critical value(s) for the hypothesis test.Round to two decimal places if necessaryEnter 0 if normal approximation to the binomial cannot be used

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Answered: Determine if the conditions required…

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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Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho : HA = lB vs Ha : HA + HB using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14. (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = p-value = i
Suppose that Y is a normally distributed random variable. Assuming that the data is randomly sampled, use the following information to determine the sample variance. Show your work. Use three decimal places. • The sample size is 1225 • The upper limit of a 90 percent confidence interval for E [Y ] is 1.194 • The lower limit of a 90 percent confidence interval for E [Y ] is 1.006.
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
Use the normal distribution calculator to calculate the p-value. Calculator z= :P(Z sz In a hypothesis test with hypotheses Ho: ≤ 50 and H₁ μ> 50, a random sample of 125 elements selected from the population produced a mean of 55.6. Assume that = 23.5, and that the test is to be made at the 3% significance level. What is the p-value for this hypothesis test, rounded to three decimal places? e Texthook and Media
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.
Assume that you have a sample of n, = 8, with the sample mean X, = 47, and a sample standard deviation of S, = 7, and you have an independent sample of n, = 7 from another population with a sample mean of X, = 37 and the sample standard deviation S, = 8. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that u, > H2? Determine the hypotheses. Choose the correct answer below. O A. Ho: H1 SH2 H1: Hy> H2 O B. Ho: H1 =H2 H: H1 # H2 O D. Ho: H1 H2 O C. Ho: H1> H2 H1: H1 SH2
Test the Variances. Assume both populations are normally distributed and the population variances are equal. Họ :o = 0 HA:0 + o (Claim) si = 10.3 , s = 2 %3D n1 = 6, n2 = 28 a = 0,10 Round all values to 3 decimal places a. The Critical Value Fo = b. The Test Statistic F = c. Conclusion O Reject the null hypothesis and support the claim O Do not reject the null hypothesis and can not support the claim
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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For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Claim: The mean IQ score of statistics professors is less than 122. Sample data: n=21, x=120, s=14. The significance level is α=0.05. 1. Determine the test statistic t. t= ____ (Round to three decimal places as needed.) 2. Find the critical value using a t-distribution table. The critical value is ____ (Round to three decimal places as needed.) 3. What is the conclusion? A. Fail to reject the null hypothesis and do not support the claim tha μ>130. B. Reject the null hypothesis and do not support the claim that μ>130. C. Reject the null hypothesis and support the claim that μ>130. D. Fail to reject the null hypothesis and support the claim that μ>130.
A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When 51 buttered slices of toast were dropped, 33 of them landed with the buttered side up and 18 landed with the buttered side down. Use a 0.01 significance level to test the claim that toast will land with the buttered side down 50% of the time. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. After that, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than 50% of the time, write a conclusion that addresses the intent of the experiment.
Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H₁₂; a=0.01. Assume o² #02 Sample statistics: x₁ =2417, s₁ = 174, n₁ = 15 and X2=2301, $255, n₂ = 10 dentify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 H2 Ha H1> H2 OC. Ho: H₁₂ H₂H₁₂ O E. Ho: H1 H2 Hai P1 P2 Find the standardized test statistic t. OB. Ho: H1 H2 D. Ho: H1 H2 H: H₁₂ OF. Ho: 12 Ha H1 H2 Time Remaining: 00:59:29 Next Inser

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