# Question

A simple random sample of 140 residents in a certain town was polled the week after the Super Bowl, and 75 of them said they had watched the game on television.

a. Construct a 95% confidence interval for the proportion of people in the town who watched the Super Bowl on television.

b. The 2013 Super Bowl between the Baltimore Ravens and the San Francisco 49ers was the third most watched television program in history, with 48.1% of television sets in the U. S. tuned to the game. Someone claims that the percentage of people who watched the game in this town was less than 48.1%. Does the confidence interval contradict this claim? Explain.

c. Use the results from the sample of 140 to estimate the sample size necessary for a 95% confidence interval to have a margin of error of 0.025.

a. Construct a 95% confidence interval for the proportion of people in the town who watched the Super Bowl on television.

b. The 2013 Super Bowl between the Baltimore Ravens and the San Francisco 49ers was the third most watched television program in history, with 48.1% of television sets in the U. S. tuned to the game. Someone claims that the percentage of people who watched the game in this town was less than 48.1%. Does the confidence interval contradict this claim? Explain.

c. Use the results from the sample of 140 to estimate the sample size necessary for a 95% confidence interval to have a margin of error of 0.025.

## Answer to relevant Questions

Testing math skills: In order to test the effectiveness of a program to improve mathematical skills, a simple random sample of 45 fifth- graders was chosen to participate in the program. The students were given an exam at ...Cost of environmental restoration: In a survey of 189 Scottish voters, 61 said they would be willing to pay additional taxes in order to restore the Affric forest. a. Assuming that the 189 voters who responded constitute a ...When constructing a confidence interval for. , how do you decide whether to use the t distribution or the normal distribution? Are there any circumstances when it is acceptable to use either distribution? Crackers: Boxes of crackers are filled by a machine. The weights of a random sample of 25 boxes of crackers have standard deviation s = 5 grams. Assume the weights are normally distributed. Can you conclude that the ...Sugar content: The sugar content in milligrams of a syrup used to pack canned fruit is measured for 8 batches of syrup. The measurements are normally distributed, and the sample standard deviation is s = 3. Can you conclude ...Post your question

0