Please follow the directions
Directions: Answer the following questions on a separate sheet of paper. For each problem, use the Specied approach to decide whether to reject the null hypothesis. In each case, be sure to: I) Cite your evidence . . a. For the p-value approach, specify the correct Excel function and use it to calculate the pvalue in Excel, write the pvalue (to 4 decimals) and compare it to a ' b. For the Critical Value approach, look up the CV(s) and either apply the appropriate mathematical rule or draw the rejection region diagram. CVs should be reported at the same precision as the Chi-Square CV table, so 3 decimal places. 2) State your conclusion about the null hypothesis (i.e. Reject Ho; Do not reject H0) 3) State your conclusion about the alternative hypothesis (Le. accept HA; HA is unsupported) 1. Consider a lower tail hypothesis test at the a = 0.05 signicance level with a Chi-Square test statistic of g\" = 41.714 and degrees of freedom df = 50. a) Using the p-value approach, decide whether or not to reject the null hypothesis. 1)) Using the Critical Value approach, decide whether or not to reject the null hypothesxs. 2. Consider a two-tailed test at the a = 0.01 signicance level with a Chi-Square test statistic of 13.5, = 10.287 and df = 28. a) Using the p-value approach, decide whether or not to reject the null hypothesis. b) Using the Critical Value approach, decide whether or not to reject the null hypothesis. 3. Consider an upper tail test at the a = 0.05 signicance level with a Chi-Square test statistic of 25535; = 100.156 and df = 75. 3) Using the pvalue approach, decide whether or not to reject the null hypothesis. b) Using the Critical Value approach, decide whether or not to reject the null hypothesis. 4- Consider an upper tail test at the a = 0.10 signicance level with a Chi-Square test statistic of x3e\" = 37.821 and df = 30. a) Using the p-value approach, decide whether or not to reject the null hypothesis. b) Using the Critical Value approach, decide whether or not to reject the null hypothesis. 5. Consider a two-tailed test at the a = 0.10 signicance level with a Chi-Square test statistic of gates, = 25.943 and df = 19. a) Using the p-value approach, decide whether or not to reject the null hypothesis. b) Using the Critical Value approach, decide whether or not to reject the null hypothesis