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In: Statistics and Probability

A sociologist is studying the age of the population in Blue Valley. Ten years ago, the...

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, 13% were in the 20- to 35-year-old bracket, 31% were between 36 and 50, 24%were between 51 and 65, and 12% 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
29 27 65 65 24

Find the sample test statistic.

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