Consider the observed frequency distribution for a set of grouped random variables available below. Perform a chi-square test using a a = 0.05 to determine if the observed frequencies follow the normal probability distribution with u = 100 and o = 19. Click the icon to view the observed frequency distribution State the appropriate null and alternative hypotheses. What is the null hypothesis? A. Ho: The random variable follows the normal probability distribution. O B. Ho: The random variable does not follow the normal probability distribution. O C. Ho: The mean number of the random variable is not equal to 100. O D. Ho: The mean number of the random variable is equal to 100. What is the alternative hypothesis? O A. H1: The mean number of the random variable is not equal to 100. O B. H1: The mean number of the random variable is equal to 100. c. H1 : The random variable does not follow the normal probability distribution. O D. H1 : The random variable follows the normal probability distribution. Calculate the chi-square test statistic, x2. x2 = (Round to two decimal places as needed - X Frequency distribution Random Variable, x Frequency, f. Less than 81 19 81 to under 100 16 100 to under 119 19 119 and more 6 Total 50 Print Done