**Hypothesis Testing for Proportions**Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is thought 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.1. **State the Hypotheses:** Determine the null hypothesis, \( H_0 \), and the alternative hypothesis, \( H_1 \). - \( H_0: \pi \geq 0.6 \) - \( H_1: \pi < 0.6 \) - (Type integers or decimals. Do not round.)2. **Compute the Test Statistic:** A placeholder is provided to enter the test statistic value. \[ 0 \] (Round to two decimal places as needed.)3. **Find the p-value for the Test:** A placeholder is provided to enter the p-value for the test. \[ \text{[ ]} \] (Round to three decimal places as needed.)

Answered: Image /qna-images/answer/b8f2644d-dd70-4cd8-b012-47fe670b7c0c.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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A p-value is calculated to be 0.005%. Check all of the statements that are CORRECT interpretations of this result. a. The alternative hypothesis must be true. b. The null hypothesis has only 0.005% chance of being true. c. If the null hypothesis is true, something very surprising has occurred.
3. A large automobile manufacturing plant produces 1200 new cars every day. A quality-control inspector checks a random sample of 90 cars from one day's production and finds that 12 of them have minor paint flaws. a. Find the margin of error for a 99% confidence interval. b. Construct and interpret a 99% confidence interval by completing the statement below. We are [ % confident that the true population proportion for the cars with minor paint flaws are between and c. Find the margin of error for a 90% confidence interval. d. Construct and interpret a 90% confidence interval by completing the statement below. We are % confident that the true population proportion for the cars with minor paint flaws are between and e. A 99% confidence interval is than a 90% confidence interval
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
What would be the percentage of this question?
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. Determine the test statistic B. Determine the P-value C.reject or fail to reject H0 D. Determine if the results suggest that all of child booster seats meet the specified requirement.
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?
You wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.
An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 332 people living in East Vancouver and finds that 36 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Please carry answers to at least six decimal places in intermediate steps, and use at least 3 decimal places in your critical value. Sample size =
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.

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