Question: The same researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of age groups in her community.

The same researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of age groups in her community. Her sample includes 150 people under 18 years, 350 people 18 to 44 years, 100 people 45 to 64 years, and 50 people 65 years and older. According to census records, her community population is 25% under 18 years, 40% 18 to 44 years, 22% 45 to 64 years, and 13% 65 years and older. Is her sample unrepresentative of her community? Carry out the steps of hypothesis testing using a chi-square test for goodness of fit at the 0.05 significance level. Explain your answer to a person who has never taken a course in statistics

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