The governor of the state of Maryland, Martin O'Malley, ran for re-election in November, 2010. Before the election, from September 22-26, 2010, the Washington Post conducted a poll in which respondents were asked: "If the election for Maryland governor were held today, for whom would you vote?" In an article summarizing the results of the poll , Washington Post journalists reported that "A total of 1,448 randomly selected adults in Maryland were interviewed, including... 730 voters likely to cast ballots." The sample was intended to represent the population of likely Maryland voters at that time period in September, 2010. The article summarized the responses of the likely voters using the following categories: "For Governor Martin O'Malley", "for Bob Ehrlich", and "for Other/no opinion". Although the exact counts for each response were not included in the article, the following is a likely tally of responses from the sample of 730 likely voters: for Governor Martin O'Malley for Bob Ehrlich for Other/no opinion 382 responses 302 responses 46 responses Assume that before the Washington Post conducted its poll, previous polling information had suggested the distribution of responses for the population of likely Maryland voters during this time period would be: 48% "for O'Malley", 46% "for Ehrlich", and 6% "Other/no opinion". Using a 2.5% significance level, perform a complete chi-square goodness-of-fit test to examine whether there was sufficient evidence to challenge the previous claim regarding the distribution of responses for the population of likely Maryland voters for that time period.