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. Personality Type Profession E I Row Total Clergy (all denominations) 58 49 107 M.D. 71 91 162 Lawyer 52 85 137 Column Total 181 225 406 Test to determine if personality preferences and the listed professions are independent at the 5% level of significance. a) What distribution will you use for this test? b) Are the expected frequencies for all cells greater than 5? (Round expected frequencies to at least three decimal places) c) What are the degrees of freedom for this test? d) What is the critical value for this test separating fail to reject from reject region? e) Find the value of the sample test statistic. (Round the test statistic to three decimal places.) f) Will you fail to reject or reject the null hypothesis? State the conclusion for the test in the context of the problem: g) At % level of significance, (fail to reject or reject) the null hypothesis. There is (insufficient or sufficient) evidence to find that personality preferences and professions 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. E refers to extroverted and I refers to introverted. Personality Type Occupation E I Row Total Clergy (all denominations) 61 46 107 M.D. 66 96 162 Lawyer 52 85 137 Column Total 179 227 406 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. (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 What sampling distribution will you use? chi-square Student's t normal binomial uniform What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. p-value > 0.100 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 0.005 < p-value < 0.010 p-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > Ć°ĀāŗĀ¼, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, there is insufficient evidence to conclude that Myers-Briggs preference and the profession are not independent.
Madhur L.
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? Group of answer choices: a. Since the P-value is less than Ī±, 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. b. Since the P-value is less than Ī±, 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. c. Since the P-value is greater than Ī±, 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. d. Since the P-value is greater than Ī±, 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. e. Since the P-value is greater than Ī±, 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.
Adi S.
The following table shows the Myers-Briggs personality preferences for a random sample of 407 people in the listed professions: Occupation | Extroverted | Introverted | Row Total Clergy (all denominations) | 63 | 43 | 106 M.D. | 70 | 91 | 161 Lawyer | 56 | 84 | 140 Column total | 189 | 218 | 407 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Find (or estimate) the P-value of the sample test statistic. P-Value < 0.005 0.01 < P-Value < 0.025 P-Value > 0.5 0.005 < P-Value < 0.01 0.10 < P-Value < 0.25
Qudsiya A.
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