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. Type of University Classification Moderate Research Activity Higher Research Activity Highest Research Activity Public 28 71 96 Private 48 26 49

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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
Classification
Moderate
Research
Activity
Higher
Research
Activity
Highest
Research
Activity
Public 28 71 96
Private 48 26 49
Test the hypothesis that the population proportions of public universities are equal in each classification category. Use a 0.05 level of significance. 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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