The following table shows the Myers-Briggs personality preferences for a random sample of 409 people in the listed professions.   Occupation Extroverted Introverted Row Total Clergy (all denominations) 65 43 108 M.D. 69 95 164 Lawyer 57 80 137 Column Total 191 218 409 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.10 level of significance. Depending on the P-value, will you reject or fail to reject the null hypothesis of independence?

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The following table shows the Myers-Briggs personality preferences for a random sample of 409 people in the listed professions.
 
Occupation Extroverted Introverted Row Total
Clergy (all denominations) 65 43 108
M.D. 69 95 164
Lawyer 57 80 137
Column Total 191 218 409

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.10 level of significance. Depending on the P-value, will you reject or fail to reject the null hypothesis of independence?

 

Question 4 options:

 
Since the P-value is less than α, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.10 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
 
Since the P-value is greater than α, we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.10 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
 
Since the P-value is greater than α, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.10 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
 
Since the P-value is less than α, we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.10 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
 
Since the P-value is greater than α, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.10 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
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