MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A Gallup poll of 2,000 Russians found that 83% of those sampled approved of the hob
that Russian President Vladimir Putin was doing. The Large-Sample and Independence conditions hold here, so we can use a
1, How many standard errors do we need to include in order to be 95% confident that the population proportion is within the given
2, What is the margin of error for this poll with a 95% confidence level? (Round to 4 decimal places)
3, What would be the margin of error if we wanted to be 99.7% confident that our interval contained the population proportion p? How would that change the interval?
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- A recent article published by the Wall Street Journal said the Cincinnati airport had the most expensive airfares among the largest airports in the US. While they had some statistics to support this statement, a statistician decided to investigate further. A sample of 46 flights originating in Cincinnati was selected, and the round-trip airfare for each flight was recorded. The sample data is summarized in the StatCrunch output below: With 98% confidence, we estimate the mean airfare for flights out of Cincinnati is between $ and $. (Round the limits of your interval to 4 decimal places.) The mean airfare nationwide was reported as $376 for a round-trip ticket. Does the interval found above support the claim that Cincinnati has airfares which are more expensive than other airports in the US? The interval does not support the claim because the entire interval is not above $376. We can't make this conclusion based on a confidence interval. The interval does not support this claim…arrow_forwardRefer to diagram and apply to multiple choice.arrow_forwardA polling firm called 1,000 likely voters to ask about their political preferences. Of those polled, 520 indicated that they would vote for the incumbent candidate. Determine the point estimate for the proportion of voters in the election district who will vote for the incumbent. What is the sampling distribution for p in this example? Approximately how many voters must be polled for a margin of error equal to .01, assuming a confidence level of 95%? Show your work.arrow_forward
- A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.78, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H₁ that should be used for the test? H₂ : O H₁ :0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.08. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) when, in…arrow_forwardWhat is the minimum required sample size to make a 96% confidence interval for a population mean if the margin of error is to be 2 inches and the standard deviation is thought to be about 12 inches?arrow_forwardSuppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?arrow_forward
- What is the approximate sample size required to estimate the percentage of Americans who have earned a college degree to within 2%, with 95% confidence?arrow_forwarda critic points out that this 95 % confidence interval is only accurate if the statistic follows a normal distrubution , or if the normal model is a good approximation. is this true for this data? explainarrow_forwardConsider the sample dataset : 2,4,5,9,10. What is point estimate and sample standard deviation? What is margin of error at 95% confidence level? Calculate confidence intervals at 95% confidence level.arrow_forward
- The number of unhealthy days based on the AQI (air quality index) for a random sample of metropolitan areas is shown. Construct an 80% confidence interval based on the data. Assume the variable is normally distributed. 23, 21, 14, 5, 40, 61, 39, 1, 0, 16arrow_forwardFor part i can you describe that sample using the summaries, in part ii describe if the normality is reasonable, and part iii interpret the confidence interval?arrow_forward
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