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56) 56) A spinner is mounted on a piece of cardboard divided into six areas of equal size. Each of the six areas is a different color (blue, yellow, red, green, white and orange). When the spinner is spun, each color should be selected by the spinner approximately - of the time. A student suspects that a certain spinner is defective. The suspected spinner is spun 90 times. The results are shown below. Calculate the chi-square test statistic x2 to test the student's claim. Use a = 0.10. Color Blue Yellow Red Green White Orange Frequency 11 15 16 19 17 12 A) 2.143 B) 4.312 C) 5.013 D) 3.067 57) The contingency table below shows the results of a random sample of 200 registered voters that 57 ) was conducted to see whether their opinions on a bill are related to their party affiliation. Party Opinion Approve Disapprove No Opinion Republican 42 20 14 Democrat 50 24 18 Independent 10 16 6 Find the chi-square test statistic, x2, to test the claim of independence. A) 7.662 B) 9.483 C) 11.765 D) 8.030 58) A researcher wants to determine if the number of minutes spent watching television per day is 58) independent of gender. A random sample of 315 adults was selected and the results are shown below. Calculate the chi-square statistic x2 to determine if there is enough evidence to conclude that the number of minutes spent watching television per day is related to gender. Use a = 0.05. Gender Minutes spent watching TV per day 0 -30 30 -60 60 - 90 90 - over Male 25 35 75 45 Female 30 45 45 15 A) 19.874 B) 18.146 C) 20.912 D) 21.231 59) In a chi-square test of homogeneity of proportions we test the claims that 59) A) the proportion of individuals with a given characteristic doesn't change over time. B) the proportion of a population having a given characteristic is based on the homogeneity of the population. C) different populations have the same proportions of individuals with the same characteristics. D) across a single sample the proportion of individuals with the same characteristic is the same as the population. Find the probability (as a decimal rounded to four decimal places). 60) A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at 60) random. What is the probability that you have at least 2 cherry candies? A) 0.4909 B) 0.3362 C) 0.5758 D) 0.1515