Chapter 11.1, Problem 14P

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?

(c) 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 preference and area of study for a random sample of 519 college students (Applications of the Myers-Briggs Type Indicator in Higher Education, edited by Provost and Anchors). In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing.

Myers-Briggs Preference	Arts & Science	Business	Allied Health	Row Total
IN	64	15	17	96
EN	82	42	30	154
IS	68	35	12	115
ES	75	42	37	154
Column Total	289	134	96	519

Use a chi-square lest to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance.