The manager of a public pool that is open to residents of two towns (Athol and Belchertown) wants to know if the proportion of households that use the pool is different between the two towns. In order to test this, the pool manager asks 50 households in Athol and 60 households in Belchertown whether anyone in their household had used the pool last summer. 29 of the households surveyed in Athol responded "yes" and 33 of the households in Belchertown responded "yes".

Find the positive test statistic that would be used to perform this hypothesis test.

Note: Round to the nearest thousandth.

Please explain step by step

Is there a way to put this in a TI -83?