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, 31 were born in winter, 33 in spring, 31 in summer, and 25 in fall. She wonders 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 x statistic to be (what is the mean of the x distribution)? The expected x" statistic is 3. (Type an integer or a decimal.) b) The computed y statistic for the given data is 1.20. Does this seem large in comparison to the mean in part a? Explain briefly. No, because the statistic is smaller 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: All the probabilities are different. C. Ho: Births are distributed uniformly across the seasons. HA: Births are not distributed uniformly across the seasons. O D. Ho: All the probabilities are different. HA: Births are distributed uniformly across the seasons. c) What does the comparison in part b say about the null hypothesis? Since the test statistic is less than the mean, there is little evidence that the births are not distributed uniformly across the seasons. d) Find the a = 0.05 critical value for the x- distribution with the appropriate number of df. x2 =(Round to two decimal places as needed.)