Based on a random sample of 86 students taken at a college, the accompanying table shows how many had their birthday in the fruit second, third, or fourth quarter of the your. Is there evidence that the probabilities of having a birthday in a given quarter are not equal? Complete parts a through d below Click the icon to view the birthday data, B. Formulain the mill and alternator broochesen Hy PlJan Mar - PIApr-Junja - X H Al least one of the probabil Birthday Data b. Find the copected values and Birthday Jan Mar Ap Jan Mer ApreJun Jul-Sep Oct Off 10 Expected [Found to three decimal places Print DoneBased on a random sample of 86 students taken at a college, the accompanying table shows how many had their birthday in the first, second, third, or fourth quarter off the year in them invidence that the probabilities of having a birthday in a given quarter are not equal? Complete parts a through d below. Click the icon to view the birthday data a. Formulato the null and alternative hypotheses. Ho: P(Jan- Mar) = PIApr-Jun) = P(Jul Sep) = P(Oct.Dec) HI At least one of the probabilities is different b. Find the expected values and compute the chi-squared stallation Jan-Mar Apr-Jun Jul-Sop Oct-Dee Observed 21 37 14 Expected (Round to three decimal places as needed.)Based on a random sample of UB students Inkon al in college, the accompanying tabin shows how many had ther bir hada that the probabilities of having a birthday In a given quarter are not equal? Complete parts in through d below If Click the icon to view the birthday davi a. Formulate the null and alternative hypotheses Ha PiJan-Mar= PLApr-Jun) = P(Jul Sep) = P(Oct-Doc) H. At least one of the probabartion is different. b. Find the sapected values and compute the chi-squared statistic Jan Mar: Apr Jun Jul-Sep OCI-Dec Observed 21 19 14 Expected Found to fires decimal places at needed )