Manufacturers are testing a die to make sure that it is fair (has a uniform adistribution). They roll the die 72 times and record the outcomes. They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level. (a) The null and alternative hypotheses are: • Ho : The die has the uniform distribution. • Ha: The die does not have the uniform distribution. (b) xổ = 4.500. (c) Determine the critical value using the following portion of the x2-table. Xổ.10 Xố.025 X,005 df

Manufacturers are testing a die to make sure that it is fair (has a uniform adistribution). They roll the die 72 times and record the outcomes. They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level. (a) The null and alternative hypotheses are: • Ho : The die has the uniform distribution. • Ha: The die does not have the uniform distribution. (b) xổ = 4.500. (c) Determine the critical value using the following portion of the x2-table. Xổ.10 Xố.025 X,005 df

Name: Manufacturers are testing a die to make sure that it is fair (has a u
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die72 times and recordthe outcomes.They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level.(a) The null and alter

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

Test whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1
Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 10% level of significance. What is the level of significance? (b) State the null and alternate hypotheses. H0: p = 0.67; H1: p > 0.67 H0: p = 0.67; H1: p ≠ 0.67 H0: p < 0.67; H1: p = 0.67 H0: p = 0.67; H1: p < 0.67 What sampling distribution will you use? The Student's t, since np < 5 and nq < 5. The standard normal, since np < 5 and nq < 5. The standard normal, since np > 5 and nq > 5. The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.)…
Conduct a test at the α=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the 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=124, n1=243, x2=139, and n2=312.
Test the claim about the population variance o² at the level of significance α. Assume the population is normally distributed. Claim: o² ≥8.5; α = 0.10 2 Sample statistics: s² = 7.78, n = 25 Write the null and alternative hypotheses. Ho: 0² ≥ 8.5 Ha: 0² < 8.5 (Type integers or decimals. Do not round.) Calculate the standardized test statistic. x² = 21.97 (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.)
(2) Choose the one alternative that best completes the statement or answers the question. Assume two independent random samples are available which provide sample proportions. For the first sample assume n₁ = 100 and x₁= 39. For the second sample, assume n₂= 100 and x₂= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth. Note that this is a two- tailed test. z-value = -1.425 p-value= 0.077 statistically significant z-value = 1.425 p-value= 0.077 statistically significant z-value = -1.425 p-value= 0.077 not statistically significant z-value = 1.425 p-value= 0.154 statistically not significant
Let Y₁, Y₂, ..., Y₁ denote a random sample from a normal distribution with unknown mean and unknown variance o². For testing Ho: o² = 0 vs. Ha: o²o, show that the a-level Likelihood Ratio Test (LRT) is equivalent to the x² test
You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.22. You use a significance level of α=0.005α=0.005. H0:p=0.22H0:p=0.22 H1:p<0.22H1:p<0.22You obtain a sample of size n=430n=430 in which there are 77 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. The sample data support the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient sample…
Test the claim about the population variance o² at the level of significance a. Assume the population is normally distributed. Claim: o² ≤17.1; x = 0.01 Sample statistics: s² = 25.13, n = 41 Write the null and alternative hypotheses. Ho: H₂:0²
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Hg P2. a= 0.20, n, =6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Enter your answer in each of the answer boxes. DELL
Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). O Ho: P = 0 H₂: P = 0 O Ho: P = 0 H₂:p>0 State the appropriate null and alternative hypotheses. O Ho: P = 0 Ha: P < 0 O Ho: P = 0 Ha: P = 0 X y r = 7.95 24.63 12.39 7.06 24.17 35.70 0.25 0.64 0.32 0.27 0.80 0.56 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. O Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not…
Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.
a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) Can we conclude that the mean travel time via the 10 freeway, μ1 , is different from μ2 , the mean travel time via the 60 freeway? Yes No