The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 52 73 96 86 95 277 148 159 212 117 242 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Ho: Myers-Briggs preference and profession are not independent. H,: Myers-Briggs preference and profession are independent. • Ho: Myers-Briggs preference and profession are independent. H1: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent. H,: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are not independent. H,: Myers-Briggs preference and profession are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) 14.128

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The following table shows the Myers-Briggs personality
preferences for a random sample of 519 people in the listed
professions. T refers to thinking and F refers to feeling.
Personality Type
Occupation
Clergy (all denominations)
M.D.
Lawyer
Column Total
Row Total
52
73
96
86
95
277
148
159
212
117
242
519
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.01 level
of significance.
(a) What is the level of significance?
0.01
State the null and alternate hypotheses.
Ho: Myers-Briggs preference and profession are not independent.
H,: Myers-Briggs preference and profession are independent.
• Ho: Myers-Briggs preference and profession are independent.
H1: Myers-Briggs preference and profession are not independent.
O Ho: Myers-Briggs preference and profession are independent.
H,: Myers-Briggs preference and profession are independent.
O Ho: Myers-Briggs preference and profession are not independent.
H,: Myers-Briggs preference and profession are not independent.
(b) Find the value of the chi-square statistic for the
sample. (Round the expected frequencies to at least three
decimal places. Round the test statistic to three decimal
places.)
14.128
Transcribed Image Text:The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 52 73 96 86 95 277 148 159 212 117 242 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Ho: Myers-Briggs preference and profession are not independent. H,: Myers-Briggs preference and profession are independent. • Ho: Myers-Briggs preference and profession are independent. H1: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent. H,: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are not independent. H,: Myers-Briggs preference and profession are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) 14.128
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