Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful : reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 32 39 2 35 51 a. Choose the null and alternative hypotheses. O Hg: The two variables are independent.; HA: The two varlables are dependent. O Hạ The two variables are dependent.; H: The two variables are independent. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful : reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 32 39 2 35 51 a. Choose the null and alternative hypotheses. O Hg: The two variables are independent.; HA: The two varlables are dependent. O Hạ The two variables are dependent.; H: The two variables are independent. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) 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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Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 1% significance level is performed. Arts Humanities Sciences Row Total Men 16 6. 20 42 Women 20 16 44 Column Total 24 26 36 86 (a) The null and alternative hypotheses are: • Ho: The two variables are independent, so gender does not affect college major. • Ha: The two variables are dependent, so gender does affect college major. (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.) Provide your answer below: test statistic
A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. Supermarket 1 Supermarket 2 n = 260 n, = 300 = 84 X, = 83 (a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let u, = the population mean satisfaction score for Supermarket 1's customers, and let u, = the population mean satisfaction score for Supermarket 2's customers. Enter != for as…
Workers and senior-level bosses were asked if it was seriously unethical to monitor employee e-mail. The results are summarized in the table to the right. Use a 0.05 significance level to test the claim that the response is independent of whether the subject is a worker or a boss. Click the icon to view the critical values of x² table. Workers Bosses Yes No 196 248 41 87 a. State the null and the alternative hypotheses. Choose the correct answer below. A. The null hypothesis: There is some relationship between response and whether the subject is a worker or a senior-level boss. The alternative hypothesis: Response is independent of whether the subject is a worker or a senior-level boss. B. The null hypothesis: Response is independent of whether the subject is a worker or a senior-level boss. The alternative hypothesis: There is some relationship between response and whether the subject is a worker or a senior-level boss. Workers Bosses (Round to the nearest tenth as needed.) b.…
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K Use the IQ scores for the accompanying sample of individuals with low lead exposure to test the claim that they are from a population with a median IQ score of 100. Use a 0.01 significance level. Click the icon to view the data on IQ scores. F2 Find the null and alternative hypotheses. OA. Ho: Median = 100 H₁: Median #100 OC. Ho: Median = 100 H₁: Median 100 Find the test statistic. z=(Round to two decimal places as needed.) Find the P-value. F3 F4 F5 F6 W F7 DELL F8 Ō GET OB. Ho: Median # 100 H₁: Median = 100 OD. Ho: Median 100 H₁: Median = 100 F9 O F10 F11 :: F12 PrtScr 60 Submit quiz Insert Submit quiz 11:45 AM 4/9/2023 Delete
The last part of the question, the options are: sufficient OR insufficient; support OR do not support. Thx!
You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?
You wish to test the following claim (Ha) at a significance level of a = 0.002. H.: H1 - H2 = 0 Ha:µ1 – µ2 <0 You obtain a sample of size nį = 70 with a mean of x1 from the first population. You obtain a sample of size n2 deviation of s2 = 18.7 from the second population. 85.5 and a standard deviation of s1 70 with a mean of x2 15.1 88.7 and a standard %3D *Be sure to test the variances first to determine whether or not you will need to pool.** What is the critical value for this test? (Report answer accurate to three decimal places.) critical value %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be: Ho MMF Ho: PM = PF H₁: MMF O H₁: PM > PF O The test is: two-tailed right-tailed O The test statistic is: Based on a sample of 60 men, 25% owned cats Based on a sample of 40 women, 40% owned cats The p-value is: Ho: M = μF H₁: UM
Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed. Arts Humanities Sciences Row Total Men 11 5 19 35 Women 11 22 9 42 Column Total 22 27 28 77 (a) The null and alternative hypotheses are: H0: The two variables are independent, so gender does not affect college major. Ha: The two variables are dependent, so gender does affect college major. (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)
Passed Failed White Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. 16 14 candidates Minority candidates 7 21 Determine the null and alternative hypotheses. O A. Ho: White and minority candidates do not have the same chance of passing the test. H4: White and minority candidates have the same chance of passing the test. B. Ho: A white candidate is more likely to pass the test than a minority candidate. H,:A white candidate is not more likely to pass the test than a minority candidate. Ho: A white candidate is not more likely to pass the test than a minority candidate. H,: A white candidate is more likely to pass the test than a minority candidate. D. Ho: White and minority candidates have the same chance of passing the test. H,: White and minority candidates do not have the same chance of passing the test. Determine the test…
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…