The following table shows the Myers-Briggs personality preference and professions for a random sample of 2408 people in the listed professions. T refers to thinking, and F refers to feeling.OccuptionTFClergy114420M.D.785818Lawyer17695At the 1% level of significance, can we conclude that occupation and personality preference are related?

Name: The following table shows the Myers-Briggs personality preference and
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Description: The following table shows the Myers-Briggs personality preference and professions for a random sample of 2408 people in the listed professions. T refers to thinking, and F refers to feeling.OccuptionTFClergy114420M.D.785818Lawyer17695At the 1% level

Solution: The given table of data isState the hypotheses. Null hypothesis: H0: The occupation and personality preference are not related. Alternative hypothesis: H1: The occupation and personality preference are related.The expected frequencies are calculated by using the following formula: Then, expected frequencies are calculated as follows: The test statistic is calculated as follows: Thus, the value of test statistic is 174.599.The degrees of freedom is The P-value is obtained by using excel. Thus, the P-value of the sample test statistic is 0.Rejection rule: If the P-value is less than or equal to 0.01, then reject the null hypothesis. Conclusion: Here, the P-value is 0. This is less than 0.05. By the rejection rule, reject the null hypothesis. The occupation and personality preference are related.

Answered: The following table shows the…

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The following table shows the Myers-Briggs personality preference and professions for a random sample of 2408 people in the listed professions. T refers to thinking, and F refers to feeling.

Occuption	T	F
Clergy	114	420
M.D.	785	818
Lawyer	176	95

At the 1% level of significance, can we conclude that occupation and personality preference are related?

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