A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population was such that 20% were under 20 years old, 14% were in the 20- to 35-year-old bracket, 31% were between 36 and 50, 24% were between 51 and 65, and 11% were over 65. A study done this year used a random sample of 210 residents. This sample is given below. At the 0.01 level of significance, has the age distribution of the population of Blue Valley changed? Under 20 20 - 35 36 - 50 51 - 65 Over 65
28 25 68 66 23

Required:
a. Find the sample test statistic.
b. Find or estimate the P-value of the sample test statistic.
c. Conclude the test.
d. Interpret the conclusion in the context of the application.