Reference no: EM132850453

In 2003, the state of California conducted their first recall election. Over one hundred candidates vied to replace Gray Davis as Governor, with actor Arnold Schwarzenegger winning 49% of the votes cast. In the days before the election, newspapers had published accusations of inappropriate treatment of women by Schwarzenegger, so some suspected that his support from women would be weaker than his support from men. Before the polls close, pundits try to predict the election results by using "exit polls," asking people as they leave the voting booth who they voted for. In one such poll that year, CNN interviewed 2023 men and 2191 women. A total of 991 men and 942 women said they voted for Arnold. The research question being investigated in this study is whether there is convincing evidence that male voters in 2003 were more likely to say they voted for Arnold than female voters in 2003.

-Calculate a 90% confidence interval for the difference in the population proportions of men and women who would claim to have voted for Arnold.

-Interpret the 90% confidence interval using the context of the problem. Be sure to use words such as greater and/or smaller in your interpretation to make it clear if there is a population proportion higher than the other.