In a study of 814 randomly selected medical malpractice lawsuits, it was found that 504 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Find z-score z= (Round to two decimal places as needed.)
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- Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 348 of the 574 randomly selected wildfires looked at in the south were caused by humans while 272 of the 518 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) = c. The test statistic ? ◊ your answer to 3 decimal places.) (please showA union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is 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 $8.48, and computes the standard deviation of the sample to be $1.25. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is [? |H: u is ? ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? when, in fact, u is ? Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? ?A researcher assures that in his country, on average, the salary of workers is less than $5000.00. He takes a sample of 7 workers and finds that their salary is: $3900.00, $5100.00, $3100.00, $5500.00, $2700.00, $4500.00, $4100.00 Can you be sure at the 0.02 level of significance that the researcher is correct? Choose 1. The correct conclusion2. The correct interpretation Select one:to)1. H0 is rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00b)1. H0 is not rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00c)1. H0 is not rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00d)1. H0 is rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00
- An article compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures computer instruction, and computer instruction with lectures. 60 students were randomly assigned, 12 to each method. After completing the course, students took a 1-hour exam. We are interested in finding out if the average test scores are different for the different teaching methods. The p-value of the test is 0.0372. What is the conclusion of the test if the level of significance is αα=0.10? There is enough evidence to conclude that all five group means are significantly different from each other. There is not enough evidence to conclude that all five group means are sigificantly different from one another. There is enough evidence to conclude that at least one group mean is significantly different from others. There is not enough evidence to conclude that at least one…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? OA. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. OB. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 71 dream in black and white, and among 288 people under the age of 25, 14 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1<p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1≠p2 H1: p1=p2 D. H0: p1≤p2 H1: p1≠p2 E. H0: p1=p2 H1: p1>p2 Your answer is correct. F. H0: p1=p2 H1:…
- A manager claims that fewer than 65% of employees will qualify for performance bonus this year. From a representative sample of 40 employees, 57.5% qualify for performance bonus. Test the manager’s claim at a 1% level of significance.The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 267 college graduates surveyed, 106 chose the response "Very important." Of the 113 people surveyed whose highest level of education was high school or less, 59 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to…Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hn: Select an answer v Select an answer v Select an answer v (please enter a decimal) Hj: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ? v= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient…
- Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 429 of the 567 randomly selected wildfires looked at in the south were caused by humans while 396 of the 544 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer v Select an answer | (please enter a decimal) Hj: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…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 $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.43, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=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 $8.16. Fill in the blanks to describe a Type I error. A Type I error would be the hypothesis that…