Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 16

For Problems 9-19, please provide the following information:
(a) What is the level of significance State the null and alternate hypotheses.
(b) Check Requirements 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)-(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 519 people in the listed professions ( Myers-Briggs Type Indicator Atlas of Type Tables , by Macdaid, McCaulley, and Kainz). T refers to thinking and F refers to feeling.

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of signicance.