Assume that there is a mayoral election coming up in a certain city and 50% of t

Question

Assume that there is a mayoral election coming up in a certain city and 50% of the voters in the city support a certain candidate. A sample of 516 voters is polled, and the proportion p of voters who support the candidate is calculated. of Find the probability that proportion of voters in the sample who support the candidate is within 3% of the assumed population proportion of 50%. Round your answer to 4 decimal places. Question 2 1 pts Approximately 15% of the population is left- handed. Assume that a sample of 229 people is selected and the sample proportion p of left- handed individuals is calculated Find the probability that proportion of people in the sample who are left handed is within 2% of the true population proportion. Round your answer to 4 decimal places.

Explanation / Answer

Question 1

Here proportion p^ of thevoters support the candidate p^ = 0.50

Standard error of the sampling se = sqrt [ p (1-p)/ N] = sqrt [0.5 * 0.5/ 512] = 0.0221

Here we have to calculate the Probability that proportion of people vote in favour of candidate is

Pr ( 0.47 < p^ < 0.53 ; 0.50 ; 0.0221)

Z - values = (0.53 - 0.50)/ 0.0221 = +-1.357

so, Pr ( 0.47 < p^ < 0.53 ; 0.50 ; 0.0221) = (1.357) - (-1.357)

= 0.9131 - 0.0869 = 0.8258

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---