Question

Super Bowit A simple random sample of 174 residents in a certain town was polled the week after the Super Bowl, and 82 of them soid they had watched the game on television. Part 1 of 3 (a) Construct a 95% contidence interval for the proportion of people in the town who watched the Super Bowi on television, Use tables or technology. Round your answers to at least three decimal ploces. The confidence interval is 1 Part: 1/3 Part 2 of 3 (b) Ratings for the 2019 Super Dowl between the New England Patriots and the Los Angeles Rams indicate that 41% of television sets in the United States were tuned to the game. Someone claims that the percentage of people who watched the game in this town was less than 41%. Does the confldence interval contradict this elaim? Expdain. the claim contradicted because we are 95% certain that the population proportion is between 39.7% and 54.5%

Answer 1

Constructing a confidence interval for the proportion of town residents that watched the Super Bowl involves using the sample proportion, z-distribution, and standard error. Then, one compares the national percentage with the interval to verify the claim about local viewership.

Step-by-step explanation:

The question involves constructing a confidence interval for the proportion of people in a town who watched the Super Bowl on television and determining if the interval contradicts a certain claim.

To create this confidence interval, one would use the sample proportion as the point estimate and apply the standard formula for a confidence interval for a proportion, which involves the critical value from the z-distribution (for a 95% confidence level) and the standard error of the proportion.

For part b, the comparison with the national viewership percentage involves checking if the 41% value lies outside the constructed interval.

it does, the interval would suggest that the proportion of people watching in the town differs significantly from the national percentage.

However, if the 41% is within the interval, the claim is not contradicted at the 95% confidence level.