HIGHLIGHT ANSWERS - no explanation required.

PART A

The Gambler's Fallacy is the idea that past events can affect future behavior. The fallacy often generates real financial consequences for those who like to take their chances at gambling, which, in turn, reaps financial benefits for gambling businesses like casinos or race tracks. t Being a person who enjoys playing dice games, you want to test the Gambler's Fallacy using a six-sided die. You toss the die 300 times with the following results. Roll 2 3 4 5 6 Frequency 54 49 50 51 51 45 In USE SALT (a) What is the probability of rolling a 1 in a single roll of a six-sided die? (Enter your probability as a fraction.) (b) Determine whether the following is true or false. The hypotheses of interest for this scenario are Ho: p, = - and P2 = P1 = , and H: H, is not true. At least one of the population category proportions differs from the corresponding hypothesized value. True O False (c) Find the value of the chi-square test statistic for this scenario. (d) With the given chi-square test statistic, you would do which of the following? (Use a table or technology.) O Reject the null hypothesis at a = 0.05 level. O Fail to reject the null hypothesis at a = 0.05 level. O Reject the alternate hypothesis at a = 0.05 level. O Accept the null hypothesis at a = 0.05 level.According to Mendel's Law, when you cross purebred plants, you should obtain a 1:1:1:1 ratio. For example, assuming that you cross purebred plants with genotypes AA and aa, you should get the ratios listed below. Genotype AA Aa Expected Ratio In a greenhouse, you pull a sample of 40 plants that have been assumed to be the results of purebred crossed plants. The plants with the characteristics of each genotype appear in the table below. Genotype Aa Observed Count 14 LA USE SALT (a) In this scenario, genotype is what variable type? discrete and categorical O continuous and numerical O discrete and numerical O continuous and categorical (b) Determine whether the following is true or false. The hypotheses of interest are H: P, = _ P2 = _ P3 = 2, and p4 = , and Hy: H, is not true. At least one of the population category proportions differs from the corresponding hypothesized value. O True O False (c) Find the value of the chi-square test statistic for this scenario. (d) With the given chi-square test statistic, you would do which of the following? (Use a table or technology.) O accept the null hypothesis at a = 0.01 level O reject the alternate hypothesis at