Pollsters want to test if an association exists between a person’s profession and their political party. A random sample of 313 voters is polled, resulting in the data in the following table. Based on these results, is there enough evidence at the 0.005 level of significance to say that an association exists? Observed Sample of Voters DemocratRepublicanTotalDoctor 39 16 55Lawyer 37 21 58Teacher 40 20 60Farmer 40 45 85Laborer 34 21 55Total 190 123313Copy Data Step 3 of 4 : Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result.)

Thus, the degrees of freedom is 4.Determine the critical value. Use EXCEL to obtain the chi square critical value at the 0.005 level of significance. EXCEL procedure: Follow the instruction to obtain the chi square critical value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=CHIINV” Enter the probability as 0.005 Enter the degrees of freedom as 4. Click enter EXCEL output: The critical value of Chi square at the 0.005 level of significance with the 4 degrees of freedom is 14.8603 Obtain the value of the test statistic. The value of the test statistic is obtained below: Thus, Thus, the value of the test statistic is 10.191.Determine the decision. The conclusion of the test is stated below: Conclusion: Use the significance level as 0.005 The value of test statistic is 10.191 and the critical value is 14.860. By rejection rule, do not reject the null hypothesis. That is, there is no association exists between a person’s profession and their political party.

Answered: Pollsters want to test if an…

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

Related questions

Question

Pollsters want to test if an association exists between a person’s profession and their political party. A random sample of 313 voters is polled, resulting in the data in the following table. Based on these results, is there enough evidence at the 0.005 level of significance to say that an association exists?

Observed Sample of Voters

	Democrat	Republican	Total
Doctor	39	16	55
Lawyer	37	21	58
Teacher	40	20	60
Farmer	40	45	85
Laborer	34	21	55
Total	190	123	313

Copy Data

Step 3 of 4 :

Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result.)

Expert Solution