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You may need to use the appropriate technology to answer this question. Suppose an institution categorizes colleges and universities on the basis of their research

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You may need to use the appropriate technology to answer this question. 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. Classification Type of University Moderate Higher Highest Research Research Research Activity Activity Activity Public 101 Private 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 = Using a 0.05 level of significance, state your conclusion. O Reject Ho- We conclude that not all population proportions are equal. O Do not reject H . We conclude that not all population proportions are equal. O Do not reject H . We cannot conclude that not all population proportions are equal. O Reject Ho. We cannot conclude that not all population proportions are equal

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