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

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.