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...

Extracted text: 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.


Extracted text: 10.| 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. Personality Preference Type Occupation Row Total Clergy (all denominations) 57 91 148 M.D. 77 82 159 Lawyer 118 94 212 Column Total 252 267 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance.