If there is no seasonal effect on human births, we would expect equal numbers of children to be born in each season (winter, spring, summer, and fall). A student takes a census of her statistics class and finds that of the 120 students in the class, 27 were born in winter, 36 in spring, 32 in summer, and 25 in fall. She wonders if the excess in the spring is an indication that births are not uniform throughout the year. Complete parts a through e below. a) If there is no seasonal effect, about how big, on average, would you expect the x2 statistic to be (what is the mean of the x2 distribution)? The expected x2 statistic is . (Type an integer or a decimal.) b) The computed x2 statistic for the given data is 2.47. Does this seem large in comparison to the mean in part a? Explain briefly. because the statistic is than the mean. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Births are not distributed uniformly across the seasons. HA: Births are distributed uniformly across the seasons. O B. Ho: Births are distributed uniformly across the seasons. HA: Births are not distributed uniformly across the seasons. O C. Ho: All the probabilities are different. HA: Births are distributed uniformly across the seasons. O D. Ho: Births are distributed uniformly across the seasons. HA: All the probabilities are different. c) What does the comparison in part b say about the null hypothesis? Since the test statistic is the mean, there is evidence that the births are not distributed uniformly across the seasons. d) Find the a = 0.05 critical value for the x2 distribution with the appropriate number of df. x2 = (Round to two decimal places as needed.) e) Using the critical value, what do you conclude about the null hypothesis at a = 0.05? evidence that births are not distributed uniformly across the seasons. Since the test statistic is the critical value, Ho. There is