Suppose that 20% of the residents in a certain state supporan increase in the property tax. An opinion poll willrandomly sample 400 state residents and will then compute the proportion in thesample that support a property tax increase.How likely is the resulting sample proportion to be within 0.04 of the trueproportion (i.e., between 0.16 and 0.24)?(Hint: Use the sampling distribution of the sample proportion in this case.)A. O It is certain that the resulting sample proportion will be within 0.04 ofthe true proportion.B. There is roughly a 99.7% chance that the resulting sample proportionwill be within 0.04 of the true proportion.C. There is roughly a 95% chance that the resulting sample proportionwill be within 0.04 of the true proportion.D. O There is roughly a 68% chance that the resulting sample proportionwill be within 0.04 of the true proportion.

Answered: Image /qna-images/answer/fc45ab35-5d55-42e8-99bc-aa56217180ec.jpg

Answered: Suppose that 20% of the residents in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To gauge how her fellow lawmakers view the proposed “Child Car Seat" Law, 12 randomly selected members of the house were interviewed. Ten of them were supporting the proposed law. Is there evidence to say that the majority of the members of the house will approve the said proposal? Which of the following statements is(are) TRUE? * I. The appropriate alternative hypothesis is the proportion of the O members of the house that will approve the proposal is less than 50%. II. Approximate Z-test can be performed as a test procedure. O Both I and II O Neither I nor II
Many states are carefully considering steps that would help them collect sales taxes on items purchased through the Internet. How many randomly selected sales transactions must be surveyed to determine the percentage that transpired over the Internet? Assume that we want to be 95% confident that the sample percentage is within two percentage points of the true population percentage for all sales transactions. n= (Round up to the nearest integer.)
1. Explain the difference between z-tests (which use categorical data), and t-tests (which use numerical data). 2. Conduct a t-test, both when given statistics, and when given data. 3. Conduct a t-test, 2-sample t-test, and paired t-test. 4. Differentiate between the five types of tests we have learned so far.
7.
1. A psychologist is interested in investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in the city are depressed. 2. A researcher wishes to determine the proportion of college students who smoke marijuana. He determined that from a sample of 120 college students, 24 tested positive of marijuana. Is it valid to infer that 20% of college students smoke marijuana? Use a = 0.05. 3. A telecommunications analyst believes that more than 34% of Filipinos subscribed to any of the available postpaid plans. A random sample of 55 was chosen and the gathered data showed that 22 are postpaid subscribers. At 0.10 significance level, is there sufficient evidence to conclude that more than 34% of Filipinos are postpaid subscribers?
Many states are carefully considering steps that would help them collect sales taxes on items purchased through the Internet. How many randomly selected sales transactions must be surveyed to determine the percentage that transpired over the Internet? Assume that we want to be 99% confident that the sample percentage is within two percentage points of the true population percentage for all sales transactions. n = (Round up to the nearest integer.)
b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?
suppose you select a simple random sample of 75 douglas college student and you find that 8 are left handed what is the best point of estimate of p, the proportion of all douglas college students who are left handed
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?

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