In a sample of 100 Republicans, 60 favored the President's anti-drug program. While in a sample of 150 Democrats,84 favored his program. At a=0.05, test to see if there is a significant difference in the proportions of the Democratsand the Republicans who favored the President's anti-drug program.(A) The hypothesis is Ho: p1 - p2 = 0 vs. Ha: p1 - p2 #0 (B) The test statistic is 0.63(C) The p-value is 0.4714 (D) The null hypothesis should not be rejected

Given: In a sample of 100 Republicans, 60 favored the president's anti-drug program. While in a…

Answered: In a sample of 100 Republicans, 60…

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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At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 306 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 252 had no visible scars after treatment. Another random sample of n2 = 428 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limit
Q16
At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 304 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 254 had no visible scars after treatment. Another random sample of n2 = 414 patients with minor burns received no plasma compress treatment. For this group, it was found that 93 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let P2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for Pi – P2. (Round your answers to three decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all…
Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
During one month, a blood donation center found that 45.5% of the donors had the A antigen. 14.5% of the donors had the B antigen. 4.6% of the donors had the A antigen and the B antigen. 84.6% of the donors were Rh+. 87.8% of the donors had the B antigen or were Rh+. (a) Find the percent of donors that have the A antigen or the B antigen. 55.4 % (b) Find the percent of donors that have the B antigen and are Rh+. ?
Twenty university students chosen at random from students enrolled at Carthage College took part in an experiment testing the effect of watching ABC News versus CNN on knowledge of world events. The 20 participants were divided randomly into two equal groups of 10 students each. One group was assigned to watch ABC and the other was assigned to watch CNN. Participants then watched their assigned station (ABC or CNN) for 3 hours a night for 4 weeks. At the end of the 4 week period they were administered a test of world knowledge. The results were as follows: XbarABC = 104; sABC = 12 XbarCNN = 99; sCNN = 10 Compute the 95% confidence interval around the difference between the two groups.
In a recent study, 20 males used a new weight-loss supplement, and 14 of them experienced weight loss after two weeks. In the same study, 50 females used the same supplement, and 29 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because % of them failed to lose weight after two weeks, whereas only % of the ▼(Choose one) failed to lose weight after two weeks.
A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance-free consumers will buy when they buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 74 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower? What is the…
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 115 of the new racecar engines and 120 of the old engines. They found that 12 of the new racecar engines and 9 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test…
Xu and Garcia (2008)conducted a research study demonstrating that 8-month-old infants appear to recognize which samples are likely to be obtained from a population and which are not. In the study, the infants watched as a sample of n = 5 ping-pong balls was selected from a large box. In one condition, the sample consisted of 1 red ball and 4 white balls. After the sample was selected, the front panel of the box was removed to reveal the contents. In the expected condition, the box contained primarily white balls like the sample, and the infants looked at it for an average of M = 7.5 seconds. In the unexpected condition, the box had primarily red balls, unlike the sample, and the infants looked at it for M = 9.9. The researchers interpreted the results as demonstrating that the infants found the unexpected result surprising and, therefore, more interesting than the expected result. Assuming that the standard error for both means is σM = 1 second, draw a bar graph showing the two sample…
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 135 of the new racecar engines and 175 of the old engines. They found that 14 of the new racecar engines and 8 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01 for the test. Step 3 of 6 : Compute the weighted estimate of p, p‾. Round your answer to three decimal places.
A demographer wants to know what proportion of women in different countries dye their hair. They take a random sample of women from Korea and another random sample of women from China. In Korea, 47% dyed their hair. In China, 56% dyed their hair. (a) What hypotheses would the demographer use to test if women in China are more likely to dye their hair than women in Korea? H0: pChina=pKorea vs. Ha: pChina ≠ pKoreaH0: pChina - pKorea = 0 vs. Ha: pChina - pKorea > 0 H0: μChina-μKorea = 0 vs. Ha: μChina-μKorea ≠ 0H0: pChina-pKorea = 0.09 vs. Ha: pChina-pKorea ≠ 0.09H0: μChina = 0.56 vs. Ha: μKorea = 0.47 (b) Suppose their test yielded a p-value of 0.079. What does this mean in the context of the test? We are 7.9% confident that the results of our test are correct.If the women of two countries have the same rates of coloring their hair, the probability of getting a difference at least this large is 0.079. If we take another sample, the probability of getting the same p̂China and…

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