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Problem 5 [15 points = 5 + 4 + 6] Demographic studies were conducted among residents of a certain area. There were 11. = 800 respondents selected at randOm and k = 5 age groups were set up by age. Observed frequencies of respOndents in groups and the hypothetical age distribution are shown below. (Under 20) (Above 65) Total Observed 90 180 800 Proportions . . . . 0.25 1.00 EXPECTED You are about to conduct a goodness-oft test based on information provided. 1. Evaluate EXPECTED counts and place them into the table above 2. Determine the test statistic value 3. At signicance level 0: = 0.01, do you have enough evidence to conclude that the true age distribution differs from hypothetical one? 0 State rejection rule 0 Indicate critical value a Formulate your decision Solution