Certainly! Below is the transcribed text that would appear on an educational website based on the provided image:---### Probability and Statistics Questions#### Question 13Three airline passengers are randomly selected from a waiting gate and tested for COVID-19. How many outcomes are possible?---#### Question 14Given that \( P(A) = 0.25 \) and \( P(B) = 0.55 \). Round your answers to two decimal places.1. If A and B are independent events, compute \( P(A \text{ and } B) \).2. If \( P(A|B) = 0.2 \), compute \( P(A \text{ and } B) \).---#### Question 15Click Save and Submit to save and submit. Click Save All Answers to save all answers.---*(Note: There are no graphs or diagrams to explain in the provided image.)*---This educational content can help students understand and work through problems related to independent events and conditional probability in statistics.

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Answered: QUESTION 13 Three airline passengers…

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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In a test of the quality of two television commercials , each commercial was shown in a separate test area six times over a one week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials . The following results were recorded. Commercial A. Commerical b # who saw comm 155 204 # who recalled message 64. 63 Use a=0.05 and test the hypothesis that there is no difference in the recall proportions for the two commercials. What is the vaule of the test statistic ( to 2 decimal) What is the p value(to 4 decimal) Compute a 95% cofidence interval for the difference between the recall proportions for the two population (to 4 decimal) Thank you
A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? Using the p-value that you get from your previous z-test statistic, would you conclude that gemfibrozil is probably effective?
A paper describes a study of the use of MRI (Magnetic Resonance Imaging) exams in the diagnosis of breast cancer. The purpose of the study was to determine if MRI exams do a better job than mammograms of determining if women who have recently been diagnosed with cancer in one breast have cancer in the other breast. The study participants were 950 women who had been diagnosed with cancer in one breast and for whom a mammogram did not detect cancer in the other breast. These women had an MRI exam of the other breast, and 101 of those exams indicated possible cancer. After undergoing biopsies, it was determined that 30 of the 101 did in fact have cancer in the other breast, whereas 71 did not. The women were all followed for one year, and four of the women for whom the MRI exam did not indicate cancer in the other breast were subsequently diagnosed with cancer that the MRI did not detect. The accompanying table summarizes this information. Cancer Cancer Not Present Present Total MRI…
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? What is the value of the combined proportion (c)? Round to four decimal places
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High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? Using proportion values rounded to four decimal places, what is the z- test statistic? Round your answer to two decimal places.
After having one group of athletes run a lap, and a different group throw the shotput, the university track coach took the pulse rates of both groups. Is this an observational study, or an experiment?
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? State the Null and Alternative Hypotheses. Make sure to define your parameters.
A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places)a.P(Republican) = b.P(same) = c.P(same|Republican) = d.P(Republican|same) = e.P(Republican and same) =

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QUESTION 13 Three airline passengers are randomly selected from a waiting gate, and tested whether or not they are positive for covid19. How many outcomes are possible?