If I want my estimate to be accurate, I want the error of pN to be small. How many people should I poll toguarantee the expected squared error on pN is less than e? Suppose you want to find out how many people support Policy X. A standard polling approach is to just ask Nmany people whether or not they support Policy X, and take the fraction of people who say yes as an estimate ofthe probability that any one person supports the policy. Suppose that the probability someone supports the policyis p, which you do not know. Let pn be the number of people polled who supported the policy, divided by the totalnumber of people polled N.

Given information: N = Total number of people polled N. p^N=Number of people polled who supported…

Answered: If I want my estimate to be accurate, I…

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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For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula is p = 1 - 7.2 where p is the minimum percentage of scores that fall within k standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.1 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.1 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 96 percent of the scores? Note: To answer part c you will need to solve the equation for k.
In the experiment, you repeated measurements 13 times for a resistor. After data processing, you determined that the standard deviation of the measurements is 4.3 N. What is the standard error of the mean in unit of N?
Suppose the mean and variance of variable X are given respectively by μ = 36.2 and Var(X) =4.2. What is the average of the squared values of variable X?
A population of N = 25 scores has ΣX = 40 and ΣX2= 120. For this population, what is the value of SS (sum of squared deviations)?
The distribution of life spans is approximately normal and u=40, how large a sample is required in order that the probability of committing a type II error be 0.1 when the true mean is 35.9 months? Assume that o = 5.8 months.
A sample of n = 5 scores has a standard deviation of s = 5. What is the value of SS, the sum of the squared deviations for this sample?
For a population with a mean of ? = 80 and a standard deviation of ? = 12, a score of X = 77 corresponds to z = −0.50. True or false?
A sample of n = 8 scores has a mean of M = 16. For this sample, ΣX = 128. Is this true or false?
For a population with mean of 50 and standard deviation of 8, what is the z- score that corresponds to X=44? а. -2 b. 1.5 С. 1 d. -0.5 e. -0.75
A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?

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If I want my estimate to be accurate, I want the error of pn to be small. How many people should I poll to guarantee the expected squared error on PN is less than e?