Suppose an institution categorizes colleges and universities on the basis of their research and degree-granting activities. Universities that grant doctoral degrees are placed into one of three classifications: moderate research activity, higher research activity, or highest research activity. The classifications for public and not-for-profit private doctoral degree-granting universities are summarized in the following table. Type of University Public Private Classification Moderate Higher Research Research Activity Activity 33 53 71 26 Highest Research Activity 91 44 Test the hypothesis that the population proportions of public universities are equal in each classification category. Use a 0.05 level of significance. What is the p-value and what is your conclusion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =

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