Beth wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomlyselected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.03 for p?

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Answered: Beth wants to determine a 99 percent…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A national survey of 2500adult citizens of a nation found that 25%dreaded Valentine's Day. The margin of error for the survey was 4.6percentage points with 85% confidence. Explain what this means. Which statement below is the best explanation? A. There is 85% confidence that 25% of the adult citizens of the nation dreaded Valentine's Day. B. In 85% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.204 and 0.296. C. There is 85% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.204 and 0.296. D. There is 80.4% to 89.6% confidence that 25% of the adult citizens of the nation dreaded Valentine's Day.
In a poll, 51% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 5%, and the estimate was made with 96% confidence. At least how many people were surveyed?
Suppose you want to estimate the proportion of employed adults who would continue working if they won $10 million in the lottery. A previous study on the issue of how to sample proportion of 0.59. How many employed adults should be randomly sampled in order to get a 99% confidence interval with a width of 0.3?
Kim wants to determine a 90 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.02 for p?
Kim wants to determine a 95 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.04 for p?
Beth wants to determine a 90 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out ofn randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.04 for p?
Now you are interested in the percent of dogs that were neutered in your sample. For 40 dogs, 30 of them were neutered. What is the LOWER limit for this confidence interval? The statistical value you will need is 1.96. Give your answer as 0.XX
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a. Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 427 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
A sociologist is comparing the proportion of teenage boys who receive a text message at least once an hour to the percentage of teenage girls who do. She has collected data from 150 men and 150 women. Which of the following is not a condition that the sociologist should check before creating a confidence interval for the difference in population proportions?
Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the proportion is about 79%, but wants to estimate the proportion better by sampling soldiers until her margin of error for a 93% Confidence Interval is less than 0.005. How many soldiers should Haley sample?
50 of the 600 medical students who were chosen at random stated they intended to work in a rural area. Calculate the 90% confidence interval for the actual percentage of medical students who intend to practice in rural areas. The responses shown here are estimates.

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