Suppose you do a study of crime rates in 26 cities where lost wallets are returned. In 2022, the violent crime rate was 380.7 per 100,000 people with a variance of 120. You collect data from 41 cities and get 382.7 with a variance of 98. Calculate the $X^2$ statistic out to 3 decimal places.
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Step 1: The formula for the chi-squared statistic is: $$X^2 = \frac{(n_1 - n_2)^2}{n_1/s_1^2 + n_2/s_2^2}$$ where: * $n_1$ is the sample size of the first group * $n_2$ is the sample size of the second group * $s_1^2$ is the variance of the first group * $s_2^2$ is Show more…
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