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A rent-to-own agreement allows the renter to either return the merchandise after a specified period of time or apply the monthly payments toward purchasing the

A rent-to-own agreement allows the renter to either return the merchandise after a specified period of time or apply the monthly payments toward purchasing the item(s) (or clearly, the renter could default on the agreement). A rent-to-own company reports that nationally 63% of the agreements result in the merchandise being returned, 25% of the agreements result in the merchandise being purchased, and the remaining agreements are defaulted on (consumer does not make required payments specified in the contract). At a local rent-to-own company, a sample of 207 agreements finds that 112 result in the merchandise being returned, 79 agreements result in the merchandise being purchased and the remaining agreements are defaulted upon. When testing (at the 5% level of significance) whether the proportions of the local company are different than the proportions nationally, what is the critical value (please round your answer to 3 decimal places)

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