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 advisorbelieves that the proportion is actually less than 0.6. A survey of 31 investors found that 19 of them were risk-averse. Formulate a one-sample hypothesis test for aproportion to test this belief.Determine the null hypothesis, H,, and the alternative hypothesis, H,.H,:(Type integers or decimals. Do not round.)

Answered: Image /qna-images/answer/9a058d6d-448b-4bb9-bf68-cbb5d31030ec.jpg

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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8. A 96% confidence interval for the proportion of the labor force that in unemployed in a certain city is (0.07, 0.10). Which of the following statements about this interval is true? a. The probability is 0.96 that between 7% and 10% of the labor force is unemployed. b. About 96% of the intervals constructed by this method will contain the true proportion of unemployed in the city. In repeated samples of the same size, there is a 96% chance that the sample proportion will fall between 0.07 and 0.10. d. The true rate of unemployment lies within this interval 96% of the time. e. Between 7% and 10% of the labor force is unemployed 96% of the time. Normally distributed with a
4. A poll was conducted in a very small community in country X to see if residents are for or against a new policy that requires them to wear a mask. A total of 500 persons were surveyed. Of the 500 surveyed 200 are against wearing a mask. Compute a 90% confidence interval for the true percent of residents who are against the new policy, and interpret the confidence interval.
a. What are the null and alternative hypotheses? b. The test statistic, t, is c. The P-value is d. State the conclusion for the test. e. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level. (a) How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%?(b) Conduct a hypothesis testing of whether over 60% of the population thought that licensed drivers should be required to retake their road test once they turn 65? That is, test the hypotheses H0: p = 0.6 and Ha: p > 0.6, where p is proportion of American adults that thought licensed drivers should be required to retake their road test once they turn 65. Please report the test statistic and the P-value, and make a conclusion using a 0.01 significance level.
4. Ten students on a low-fat diet designed to lower their cholesterol and recorded their before and after diet data in the following table: Before diet cholesterol level: After diet cholesterol level: 140 140 220 230 110 120 240 220 200 190 180 150 190 200 360 300 280 300 260 240 Based on a 95% confidence level, after hypothesis testing, what would you tell the students about the diet? Does the null hypothesis reject H0 or fail to reject H0?
In a poll of 7 randomly selected students showed that 31.3 % of the respondents believe in global warming. Based on the sample results, the margin of error E that corresponds to a 95% confidence level is equal to: O a. 0.45 O b. 0.34 O c. 0.29 O d. 0.22
In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderate amount, not much, or not at all for U.S. economic problems. The results showed that 53% of respondents blamed Barack Obama a great deal or a moderate amount. Calculate the 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems. O (0.504, 0.556) O (0.499, 0.561) O (0.489, 0.571) O The confidence interval cannot be determined from the information given.
Consider the following statements: I. As far as the probability of a Type I error is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test. II. A point estimation procedure in a one sample scenario utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest. a. I and II are both true. b. I and II are both false. c. I is true and II is false. d. I is false and II is true. e. I is false and II is sometimes true.
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?
2. You are going to construct a 90% confidence interval for the proportion ofadults that have a post-secondary education. You want the margin of errorto be .03. Your initial guess is that 35% of the population has a postsecondary education. What should the sample size be to achieve thismargin of error?
As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.
3. Consider a sample set of (96; 83; 79; 48; 53; 63; 102; 96; 87; 114; 103; 54; 81; 55; 69]. Compute the 95% confidence interval (see Example 8.8) for the mean of the population useing the Student's T-test

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