Question

Use Table 8.1, a computer or a calculator to answer the following. Suppose a candidate for public office is favored by only 47% of the voters. If a sample survey randomly selects 2,500 voters, the percentage in the sample who favor the candidate can be thought of as a measurement from a normal curve with a mean of 47% and a standard deviation of 1%. Based on this information, how often (as a %) would such a survey show that 50% or more of the sample favored the candidate? (Round your answer to two decimal places.) 1 x % 95 Need Help? Talk to a Tutor

Answer 1

Based the information provided o u variable Х leto the random be of voters which the percentage favoured , inho in the sample the candidate. Clearly, Xu N (0.47, 0.01) P pl 70.50 0.47 >0.5-0.41 o ) pl 0.01 0.01 P (2>:) 2 0.0013 normal standardized z is the here, variable. randon The probability is obtained by using table, distribution normal have decimal places two Rounding to 0 %