Consider the observed frequency distribution for the set of random variables on the right. a. Perform...

Consider the observed frequency distribution for the set of random variables on the right. a. Perform a chi-square test using alphaequals0.05 to determine if the observed frequencies follow the binomial probability distribution when pequals0.50 and nequals4. b. Determine the p-value and interpret its meaning. Random Variable, x Frequency, fo 0 18 1 106 2 154 3 106 4 16 Total 400 a. State the appropriate null and alternative hypotheses. Choose the correct answer below. A. Upper H 0: The mean number of the random variable is equal to 0. Upper H 1: The mean number of the random variable is less than 0. B. Upper H 0: The mean number of the random variable is equal to 0. Upper H 1: The mean number of the random variable is not equal to 0. C. Upper H 0: The distribution of the random variable is binomial with nequals4 and pequals0.50. Upper H 1: The distribution of the random variable is not binomial with nequals4 and pequals0.50. D. Upper H 0: The distribution of the random variable is not binomial with nequals4 and pequals0.50. Upper H 1: The distribution of the random variable is binomial with nequals4 and pequals0.50. The chi-square test statistic is chi squaredequals nothing. (Round to two decimal places as needed.) The chi-square critical value is chi Subscript alpha Superscript 2equals nothing. (Round to three decimal places as needed.) Determine the proper conclusion. Choose the correct answer below. A. Do not reject the null hypothesis. There is not enough evidence to conclude that the random variable does not follow a binomial probability distribution with nequals4 and pequals0.50 . B. Reject the null hypothesis. There is not enough evidence to conclude that the random variable does not follow a binomial probability distribution with nequals4 and pequals0.50 . C. Reject the null hypothesis. There is enough evidence to conclude that the random variable does not follow a binomial probability distribution with nequals4 and pequals0.50. D. Do not reject the null hypothesis. There is enough evidence to conclude that the random variable does not follow a binomial probability distribution with nequals4 and pequals0.50. b. p-valueequals nothing (Round to three decimal places as needed.) State the appropriate conclusion. ▼ Do not reject Reject the null hypothesis because the p-value is ▼ less than greater than alpha. There is ▼ insufficient sufficient evidence to conclude that the observed frequency distribution does not follow a binomial probability distribution.

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