**Transcription of Educational Text on Myers-Briggs Personality Preferences and Occupation**---**The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.**| Occupation | Personality Type | Row Total ||-------------|------------------|-----------|| Clergy (all denominations) | E | 81 || | I | 107 || L.D. (Attorney) | E | 96 || | I | 99 || Lawyer | E | 126 || | I | 137 || **Column Total** | **E: 303** | **I: 343** | **406** |**Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.**### (a) What is the level of significance?State the null and alternate hypotheses.- **H₀**: Myers-Briggs preference and profession are independent.- **H₁**: Myers-Briggs preference and profession are not independent.- **H₂**: Myers-Briggs preference and profession are independent.- **H₃**: Myers-Briggs preference and profession are not independent.- **H₄**: Myers-Briggs preference and profession are independent.- **H₅**: Myers-Briggs preference and profession are not independent.- **H₆**: Myers-Briggs preference and profession are independent.- **H₇**: Myers-Briggs preference and profession are not independent.- **H₈**: Myers-Briggs preference and profession are 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.)**Are all the expected frequencies greater than 5?**- Yes- No### Detailed Explanation of Table and ProcedureThe table provided categorizes a random sample of 406 individuals into their professions and their respective Myers-Briggs personality types (extroverted or introverted). The professions considered are Clergy of all denominations, L.D. (attorneys), and Lawyers. The goal is to analyze whether personality preferences (extroverted vs. introverted) and the listed professions are

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Description: **Transcription of Educational Text on Myers-Briggs Personality Preferences and Occupation**---**The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted

Solution: The observed frequency table is…

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PersonalitY Type Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 41 93 107 69 162 61 196 76 210 137 406 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.o5 level of significance (a) what is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. O Hg: Myers-Briggs preference and profession are independent Hy: 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. OHo: 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) Are all the expected frequencies greater than 5? Yes

PersonalitY Type Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 41 93 107 69 162 61 196 76 210 137 406 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.o5 level of significance (a) what is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. O Hg: Myers-Briggs preference and profession are independent Hy: 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. OHo: 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) Are all the expected frequencies greater than 5? Yes

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