The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions.   Occupation Extroverted Introverted Row Total Clergy (all denominations) 62 42 104 M.D. 70 95 165 Lawyer 56 81 137 Column Total 188 218 406 ​ Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. Given P-Value < 0.005, will you reject or fail to reject the null hypothesis of independence? ​ Group of answer choices 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 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are 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 0.05 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 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.   Since the P-value is less than α, we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.   Since the P-value is greater than α, we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.

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The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions.
 

Occupation Extroverted Introverted Row Total
Clergy (all denominations) 62 42 104
M.D. 70 95 165
Lawyer 56 81 137
Column Total 188 218 406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. Given P-Value < 0.005, will you reject or fail to reject the null hypothesis of independence?

Group of answer choices
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 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are 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 0.05 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 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
 
Since the P-value is less than α, we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
 
Since the P-value is greater than α, we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
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