Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 12% of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 50 visitors to the website is taken.Answer the following.(If necessary, consult a list of formulas.)(a) Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

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Answered: Not all visitors to a certain company's…

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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In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 37% with a margin of error of 2.5%. Describe the conclusion about p using an absolute value inequality. . That lets you type in a vertical bar | to represent absolute values. Also, when you type in < and then =, the symbolic entry option will automatically convert that to ≤ . In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to ≥. Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?
Recherchers conducted two surveys about teens are their use of social media. The First survey asked a Random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same question to a Random sample of 2253 Canadian teens. In these two studies. 73% of U.S. teens and 88% of Canadian teens said that they use instagram. Use these results to answee the following questions about the proportion of U.S. and Canadian teens that use instagram. (Round to the nearest whole hundredth as needed).
Find the sample size required to estimate the percentage of statistics students who take their statistics course online. Assume that we want 95% confidence that proportion from the sample is within two percentage points of the true population percentage.
The average total dollar purchase at a convenience store is less than that at a supermarket. Despite smaller-ticket purchases, convenience stores can still be profitable because of the size of operation, volume of business, and the markup. A researcher is interested in estimating the average purchase amount for convenience stores in suburban Long Island. To do so, she randomly sampled 24 purchases from several convenience stores in suburban Long Island and tabulated the amounts to the nearest dollar (shown below). $9 $7 $1 $2 $14 $11 $7 $8 $6 $7 $3 $3 $2 $5 $4 $4 $1 $2 $3 $10 $8 $8 $6 $4 Assume that the population standard deviation is 3.23 and the population is normally distributed. Using the above data, a 90% confidence interval for the population average amount of purchases is 4.54 to 6.71 4.495 to 6.76 4.44 to 6.81 4.49 to 6.76 4.26 to 6.99
A survey conducted by a song rating service finds that the percentages of listeners familiar with "Poker Face" by Lady Gaga who would give the song ratings of 5, 4, 3, 2, and 1 are, respectively, 43 percent, 21 percent, 22 percent, 7 percent, and 7 percent. Assign the numerical values 1, 2, 3, 4, and 5 to the (qualitative) ratings 1, 2, 3, 4, and 5 and find an estimate of the probability distribution of x = this song’s rating by a randomly selected listener who is familiar with the song. Find the expected value of the estimated probability distribution. (Round your answer to 2 decimal places.)
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 44% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to >.
Find the sample size required to estimate the percentage of statistics students who take their statistics course online. Assume that we want 95% confidence that proportion from the sample is within two percentage points of the true population percentage. Answer: Sample size n =
Solve the following problems. Show your complete solution.
The council leaders of a small town would like to determine the average number of people living in each household. To accomplish this, they send a questionnaire to each residence listed in the town address records, asking the head of the household to record the number of people living in the dwelling. They follow this up with visits to those households that have not responded to the questionnaire until the data collection process is complete. Which of the following is the best description of the method for data collection used by the council leaders? (A) A convenience sample (B) A simple random sample (C) A stratified random sample (D) A cluster random sample (E) A census
The true proportion of voters in favor of a candidate is unknown. A random sample of 329 voters results in 104 "Yes" responses (i.e. in favor of the candidate). Find the point estimate for the true population proportion of voters who favor the candidate.
The Student Union President conducted a survey to estimate the proportion of first year students who participated in the social activities organized by the Student Union. Which of the following surveying options does NOT affect the presidents ability to generalize the survey to all first year students. The president put the survey on the Student Union webpage a Monday and collected the responses at the end of the week. All of the other options present a problem for generalizing the results. The president polled all students coming out of the Student Union on a given Monday. The freshmen class consists of 3000 students. A random sample of only 300 were sent a survey. Only 150 responded. The survey was sent only to first year students enrolled in statistics courses because all students need to satisfy a statistics general education requirement.

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