Instruct ions 0 For hypothesis testing problems, please indicate critical value (or values), state rejection rule, evaluate test statistic, and nally, formulate your decision in the form YES, enough evidence to reject the null hypothesis or NO, not enough evidence to reject H0. 0 For condence intervals, specify critical values and indicate the formula that you are using for limits, UCL and LCL 0 You Will need critical values for t and x2-distributions (Tables 4 and 5 in the textbook). Problem 8 [15 points = 5 + 5 + 5] A large sample of n = 800 undergraduate students was collected and their preferences for major were polled. The observed counts were then matched with historical proportions viewed as the null hypothesis (Ho) and the observed frequencies are presented in the table below, where the row (Ho) contains historical proportions. Major Math Science Engineering Management Visual Arts Music Total Frequencies 60 120 180 220 140 80 800 Ho 0.10 0.15 0.20 0.25 0.20 0.10 1.00 1. Evaluate expected counts and goodness-of-fit statistic 2. At the significance level, a = 0.05, do you have evidence that preferences differ from the proportions stated by Ho? 3. Use the significance level, a = 0.01, to answer the previous question. Soluti