In the upcoming governor's election, the most recent poll, based on 900 respondents, predicts that the challenger will win the election. For the sake of argument, assume that 53 percent of the actual voters in the state support the incumbent governor. Calculate the probability of observing a random sample of 900 voters with a proportion of less than 0.50 supporting the incumbent governor.

Use Excel or JMP to find probabilities and values. Do not round intermediate calculations. Round your final answer to four decimals. Use number format 0.0000 Do not use probability tables to find probabilities.