Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 28 investors found that 16 of themwere risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief.Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.Ho2 0.6H₁0.6(Type integers or decimals. Do not round.)Compute the test statistic.(Round to two decimal places as needed.)4 D

It is needed to test whether the true population proportion of investors who are risk-averse is…

Answered: Suppose that the proportion of…

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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1. In a study of perception, 110 men are tested and 24 are found to have red/green color blindness (based on data from USA Today). Assume that this was done in a simple random manner. A 95% confidence interval estimate of the proportion of all men with red/green color blindness was found to be 0.14 to 0.30. If we learn that the actual population proportion of men with red/green colorblindness is equal to 0.12, then what can we conclude? A. The confidence interval was wrong. B. We would need to see the sample data to make any conclusions Pick either answer A or B as your answer and show your work to go with it
6. The Statistics Department of MYK University is conducting a study to determine how long it takes its graduates to find a job. A sample of 36 graduates was surveyed and it was found that the average time it took a graduate to find a new job was 3.5 months with a standard deviation of 1.5 months. a. Construct a 99% confidence interval for the true mean time for the graduates of this department to find a job. b. If you will be conducting a similar study using the 95% confidence level and a margin of error equal to 0.5 months, how many graduates should you interview?
8. A sample of 200 light bulbs was tested and it was found that 11 were defective. Calculate a 95% confidence interval around this sample proportion. a. 0.055 + 1.96 b. 0.055 +0.016 c. 0.055 + 0.032 d. 11 1.96 e. 200 + 11
7. A company that has many department stores in the southern states wanted to find at two such stores the percentage of sales for which at least one of the items was returned. A sample of 800 sales randomly selected from Store A showed that for 280 of them at least one item was returned. Another sample of 900 sales randomly selected from Store B showed that for 279 of them at least one item was returned. a. Construct a 98% confidence interval for the difference between the proportions of all sales at the two stores for which at least one item is returned. b. Using the 10% significance level, can you conclude that the proportions of all sales for which at least one item is returned is higher for Store A than for Store B?
A 95% confidence interval for how much time on average GRC students spend doing homework every day is 75 to 105 minutes.Choose a correct interpretation of the statement above. A. If random sampling is repeated, 95% of the confidence intervals created will capture the true mean. B. If random sampling is repeated, 95% of the samples will have a mean that is between 75 and 105 minutes. C. 95% of GRC students study between 75 and 105 minutes on average every day. D. There is 95% chance that the true mean is between 75 and 105 minutes.
3.To obtain an estimate of the proportion of ‘full time’ university students who have a part time job in excess of 20 hours per week, the student union decides to interview a random sample of full time students. They want the length of their 95% confidence interval to be no greater than 0.1. and assume variance is equal to 4. What size sample, n should be taken?
Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 30 investors found that 18 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. ..... Determine the null hypothesis, H,, and the alternative hypothesis, H,. 2 0.6 < 0.6 Ho: I H,: I (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.)
7. use the given confidence interval to find the margin of error and the sample proportion. a. (0.719,0.745) b. (0.753,0.777)
1. Suppose a random sample of 32 National Football League players had an average weight of 252.5 pounds. Assume that the standard deviation for weight of all players in the league is 31 pounds. Determine the margin of error for a 99% confidence interval for this sample.

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