he manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller  than the proportion of households from B. In order to test this, the  manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test

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The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller  than the proportion of households from B. In order to test this, the  manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.

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