9. Researchers want to find out if the frequency of epileptic seizures is the same during the different phases of the moon. They observe the number of people admitted to hospitals with epileptic seizures during the new moon, the first quarter, the second quarter, and the last quarter of the month. the results are given below. Use this random sample to perform a hypothesis test to see if the frequencies are the same or different during the four phases at a 5% significance level.

Phase of Moon	Number of Epileptic Seizures
New Moon	103
First Quarter	121
Full Moon	94
Last Quarter	152

a) What kind of chi-square test is appropriate; goodness-of-fit, homogeneity or independence? b) State the Hypotheses. c) Compute the expected values. d) Calculate the test statistic 2. e) Make a sketch, give the degrees of freedom. f) Find the p-value and state your conclusion followed by a summary sentence.