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Week 8 TestPart 1 of 4 - Chi Square Test for Homogeneity8.0/ 8.0 PointsQuestion 1 of 201.0/ 1.0 PointsClick to see additional instructionsA Driver’s Ed program is curious if the time of year has an impact on number of car accidents in the U.S. They assume that weather may have a significant impact on the ability of drivers to control their vehicles. They take a random sample of 150 car accidents and record the season each occurred in. They found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall, and 53 in the Winter.Can it be concluded at the 0.05 level of significance that car accidents are not equally distributedthroughout the year?Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.Question 2 of 201.0/ 1.0 PointsClick to see additional instructionsThe manager of a coffee shop wants to know if his customers’ drink preferences have changed inthe past year. He knows that last year the preferences followed the following proportions – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not
drink preferences have changed at his coffee shop. Use a 0.05 level of significance. Americanos Capp.Espresso LattesMacchiatosOtherObserved Counts1158869594475Expected Counts15394.56349.54545Enter the p-value - round to 5 decimal places. Make sure you put a 0 in front of the decimal.Question 3 of 201.0/ 1.0 PointsClick to see additional instructionsA color code personality test categorizes people into four colors – Red (Power), Blue (Intimacy), Green (Peace), and Yellow (Fun). In general, 25% of people are Red, 35% Blue, 20% Green, and20% Yellow. An art class of 45 students is tested at a university and 7 are found to be Red, 18 Blue, 9 Green, and 11 Yellow. Can it be concluded that personality type has an impact on students’ areas of interest and talents, such as artistic students? Test at a 0.05 level of significance.Enter the observed and expected counts for each category in the table below. Do Not Round. RedBlueGreenYellowObserved Counts718911Expected Counts11.2515.7599