The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the χ2-test statistic, and use the χ2-distribution to find the p-value of the test. Category A B C D Observed (Expected) 47 (40) 73 (80) 108 (120) 172 (160) Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four decimal places. chi-square statistic =_____________ p-value =________

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The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the χ2-test statistic, and use the χ2-distribution to find the p-value of the test.

Category A B C D
Observed (Expected) 47 (40) 73 (80) 108 (120) 172 (160)

Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four decimal places.

chi-square statistic =_____________

p-value =________

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