A health researcher claims that people's favorite types of exercise differ from the preferences suggested by previous national fitness survey data. According to the national survey, the distribution of exercise preferences is as follows:Running: 35%35\%Weightlifting: 25%25\%Yoga/Pilates: 20%20\%Other: 20%20\%To test this claim, the researcher randomly selects 500500 adults and records their favorite type of exercise. The results are shown in the table below.Find the critical value and identify the rejection region if α=0.05\alpha=0.05.

Critical Value: 7.8157.815Rejection Region: 7.815"\u003eχ2\u003e7.815\$$chi^2$$ \u003e 7.815

Critical Value: 5.9915.991Rejection Region: 5.991"\u003eχ2\u003e5.991\$$chi^2$$ \u003e 5.991

Critical Value: 9.488.Rejection Region: 9.488"\u003eχ2\u003e9.488\$$chi^2$$ \u003e 9.488

Critical Value: 10.82710.827Rejection Region: 10.827"\u003eχ2\u003e10.827\$$chi^2$$ \u003e 10.827

A health researcher claims that people's favorite types of exerci...

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