2. A random sample of 50 individuals are classified into one of six categories. If it is believed that the proportion of individuals that would be classified in category 5 is 0.20, what is the expected number of individuals to be classified (out of 50) into category 5? Answer =3. The sign test is a nonparametric test used to compare two population medians. O True O False 4. The Wilcoxon signed-rank test is a nonparametric test to determine whether two independent samples were selected from populations having the same distribution. O True OFalse5. The Kmskal-Wallis test is a nonparametric test that can be used to determine whether two or more independent samples were selected from populations having the same distribution. O True O False 6. A random sample of individuals from a large population are categorized into 20 categories. If a chi-square goodness of fit test is conducted to test the observed frequency distribution against a hypothesized frequency distribution, what is the critical value at the o = 0.05 level of significance? Round your answer to the nearest thousandths. Answer =7. Given the observed table below, calculate the expected frequency of category 4 if each category is hypothesized to be equally likely. Category 1 2 3 4 5 Frequency 26 23 29 25 17 Answer =8. Given the observed table below. calculate the chisquare goodnessoft test statistic if each category is hypothesized to be equally likely. Category 1 2 3 4 5 Frequency 25 23 29 25 1? Round your answer to me nearest hundredths. Answer 2 E 9. A random sample of 380 individuals from a large population are categorized by two variables. If the first variable has four different categories, and the second variable has two different categories, what is the critical value at the o = 0.05 level of significance when conducting a test of independence between the two variables? Round your answer to the nearest thousandths. Answer =10. Given the observed table below, calculate the expected frequency of individuals classified into category 3 of both variables when conducting a test of homogeneity. Category 2 3 15 20 25 2 22 25 23 16 24 20 Round your answer to the nearest hundredths. Answer =1. A fair coin is flipped six times. Define X to be the number of tails observed. How many distinct values of X are possible? Answer =2. A pair of fair dice is tossed and the up face values are observed. Define X to be the number of ones observed. How many distinct value of X are possible? Answer =