A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.125, 0.25, 0.3125, 0.3125 Observed frequencies: 18, 22, 21, 35 Significance level = 0.05 Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The expected frequencies are all equal to 5. Ha: At least one expected frequency differs from 5. O B. Ho: The distribution of the variable is the same as the given distribution. Ha: The distribution of the variable differs from the given distribution. O C. Ho: The distribution of the variable differs from the normal distribution. Ha: The distribution of the variable is the normal distribution. O D. Ho: The distribution of the variable differs from the given distribution. Ha: The distribution of the variable is the same as the given distribution. Compute the value of the test statistic, x". x2 = 0 (Round to three decimal places as needed.) Find the P-value. Choose the correct answer below. O A. 0.005

0.10 Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution? O A. No, because there is sufficient evidence to reject the null hypothesis. O B. No, because there is not sufficient evidence to reject the null hypothesis. O C. Yes, because there is sufficient evidence to reject the null hypothesis O D. Yes, because there is not sufficient evidence to reject the null hypothesis