Question
n recent election years, political scientists have analyzed whether a gender gap exists in political beliefs and party identification. The following table shows data on
n recent election years, political scientists have analyzed whether a "gender gap" exists in political beliefs and party identification. The following table shows data on gender and party identification (ID) collected from a simple random sample of 280 U.S. adults.
Find the probability a person randomly selected from the sample is a female.
Find the probability that a person randomly selected from the sample is a female given they are a Democrat.
Use the results to determine if gender and party identification are independent or dependent.
Party ID by Gender | ||||
Party | ||||
Gender | Democrat | Independent | Republican | Total |
Male | 39 | 50 | 41 | 130 |
Female | 45 | 58 | 47 | 150 |
Total | 84 | 108 | 89 | 280 |
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