The following table shows the MyersBriggs personality prefer

The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed proffessions. 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 0.01 level of significance.

a) what is the level of significance?

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

c) find the P-value

d) based on your answers a-c will you reject or fail to reject the null hypothesis of independence?

e) your conclusion.

Please show ALL work.

Solution