Statistics

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Let p1 represent the population proportion of U.S. Senate and Congress (House of Representatives) democrats who are in favor of a new modest tax on "junk food". Let p2 represent the population proportion of U.S. Senate and Congress (House of Representative) republicans who are in favor of a new modest tax on "junk food". A few years ago, out of the 265 democratic senators and congressman 106 of them were in favor of a "junk food" tax. Out of the 285 republican senators and congressman only 57 of them were in favor a "junk food" tax. Based on this data, at α =.01, can we conclude that the proportion of democrats who favor “junk food" tax is more than 5% higher than proportion of republicans who favor such a tax?

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