Chapter 11.1, Problem 9P

For Problems 9-19. please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

(e) Interpret your conclusion in the context of the application.

Use the expected values E to the hundredths place.

Psychology: Myers-Briggs The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions (Atlas of Type Tables by Macdaid. McCaulley, and Kainz). E refers to extroverted, and I refers to introverted.

Personality Preference Type

Occupation	E	I	Row Total
Clergy (all denominations)	62	45	107
M.D.	68	94	162
Lawyer	56	81	137
Column Total	186	220	406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.