Suppose that a certain paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who died of lung cancer. Tar Level Frequency Low 108 Medium 383 High 568 Very high 155 Assume that the sample is representative of male smokers who die of lung cancer. Calculate the value of the  ?2  test statistic that could be used to test whether the proportions of male smoker lung cancer deaths are not equal for all of the four tar level categories. The expected values are 303.5 for each of the four cells. (Round your answer to three decimal places.) ?2 =

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Suppose that a certain paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who died of lung cancer.
Tar Level Frequency
Low 108
Medium 383
High 568
Very high 155
Assume that the sample is representative of male smokers who die of lung cancer. Calculate the value of the 
?2
 test statistic that could be used to test whether the proportions of male smoker lung cancer deaths are not equal for all of the four tar level categories. The expected values are 303.5 for each of the four cells. (Round your answer to three decimal places.)
?2 = 
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