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? State the null and alternate hypotheses. Ho: Myers-Briggs preference and profession are not independent. H: Myers-Briggs preference and profession are not independent. profession are independent. H: Myers-Briggs preference and profession are independent. profession are not independent. H: Myers-Briggs preference and profession are independent. profession are independent. H: Myers-Briggs preference and profession are not independent. Are all the expected frequencies greater than 5? O Yes No What sampling distribution will you use? uniform chi-square normal binomial (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.) What are the degrees of freedom? Student's t Ho: Myers-Briggs preference and (c) Find or estimate the Pvalue of the sample test statistic. p-value > 0.100 0.050 < p-value < 0.100 0.005 p-value < 0.010 p-value < 0.005 Ho: Myers-Briggs preference and Ho: Myers-Briggs preference and 0.025 a, we fail to reject the null hypothesis. Since the P-value> x, we reject the null hypothesis. Since the P-value s o, we reject the null hypothesis. Since the Pvalues x, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, there is insufficient evidence to conclude that Myers-Briggs preference and the profession are not independent. At the 1% level of significance, there is sufficient evidence to conclude that Myers-Briggs preference and the profession are not independent.