A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 17 % of the population who take this test have the disease. If the test administered to an individual is positive, what is the probability that the person actually has the disease? Answer:
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- About 2% of the population has a particular genetic mutation. 600 people are randomly selected.Find the standard deviation for the number of people with the genetic mutation in such groups of 600.In June 2015, Gallup conducted a poll of a random sample of 14,683 adults to determine the well-being of people living in the United States. One question asked, "Did you exercise at least 30 minutes for 3 or more days in the past week?" In the survey, 58.9% of males and 52.7% of females responded yes to this question. Which of the following is true about this scenario? A. O 58.9% and 52.7% are both parameters. B. O 58.9% and 52.7% are both statistics. C. If we took another random sample of 14,683 adults, we would expect to get the exact same results.In an article that appears on a website,† Carlton Gunn, a public defender in Seattle, Washington, wrote about how he uses statistics in his work as an attorney. He states the following. I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given—say 99 in 100—are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as given below. TD = event that the test result is dirty TC = event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following…
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- Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.) (a) If 389 cans are sold today, what is the probability that 300 or more will be recycled? (b) Of the 389 cans sold, what is the probability that between 260 and 300 will be recycled Please help- I have been working on this for two days!A poll found that 80% of American adults believed that there was a conspiracy in the death of President Kennedy. A later poll asked 1097 American adults if they believe there was a conspiracy in the assassination, and found that 834 believe there was a conspiracy. Do the data show that the proportion of Americans who believe in this conspiracy has decreased? Test at the 1% level. State the hypotheses. Họ: P ?v H,: P ?v Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .01, fail to reject Ho. O Since the p-value is less than .01, fail to reject Ho. O Since the p-value is less than .01, reject Họ- O Since the p-value is greater than .01, reject Ho. Interpret the results. O At the 1% level of significance, there is not enough evidence to show that the proportion of American adults who…
- What is a null hypothesis? a. A hypothesis that states there is an effect or relationship in the population b. A hypothesis that states there is no effect or relationship in the population c. A hypothesis that is always rejected in hypothesis testing d. A hypothesis that supports the researcher's predictionA psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work belowLast year the average math SAT score for students at one school was 775. the Headmaster introduced new methods hoping to improve scores. this year , the math mean SAT score for a sample of students was 1178. If the teaching had no effect, there would be roughly a 3 in 100 chance of seeing such an increase. Does the result have STATISTICAL significance? does the result have PRACTICAL significance? exlain your answer