The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.Personality TypeOccupationClergy (all denominations)ERow Total6740107M.D.6795162Lawyer6077137Column Total194212406Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.(a) What is the level of significance?State the null and alternate hypotheses.O Ho: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are not independent.O Ho: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are independent.O Ho: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are not independent.O Ho: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are independent.(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)Are all the expected frequencies greater than 5?O YesO NoWhat sampling distribution will you use?O binomialO normalO Student'stO chi-squareO uniformWhat are the degrees of freedom?(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?O Since the P-value > a, we fail to reject the null hypothesis.O Since the P-value > a, we reject the null hypothesis.O Since the P-value < a, we reject the null hypothesis.O Since the P-value < a, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application.O At the 5% level of significance, there is insufficient evidence to conclude that Myers-Briggs preference and the profession are not independent.O At the 5% level of significance, there is sufficient evidence to conclude that Myers-Briggs preference and the profession are not independent.

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted Personality Type Row Total Occupation Clergy (all denominations) 67 40 107 162 67 60 M.D. 95 Lawyer Column Total 77 137 194 212 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted Personality Type Row Total Occupation Clergy (all denominations) 67 40 107 162 67 60 M.D. 95 Lawyer Column Total 77 137 194 212 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.

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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