A researcher wanted to estimate the difference between the percentages of users of two tooth-pastes who will never switch to another toothpaste. In a sample of 500 users of Toothpaste Ataken by this researcher, 100 said that they will never switch to another toothpaste. In anothersample of 400 users of Toothpaste B taken by the same researcher, 68 said that they will neverswitch to another toothpaste.(a) Let p₁ and p₂ be the proportions of all users of Toothpastes A and B, respectively, whowill never switch to another toothpaste. What is the point estimate of p₁ P2?Construct a 97% confidence interval for the difference between the proportions of allusers of the two toothpastes who will never switch.(b)-

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Answered: A researcher wanted to estimate the…

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 = 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…
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+. ?
The General Social Survey is completed by adults living in the United States. In 2016 and 2018, respondents who were not living with both of their parents were asked why. In 2016 (group 1). 581 out of 1008 said that the reason was that their parents were divorced or separated. In 2018 (group 2), 483 out of 644 said that the reason was that their parents were divorced or separated. For the alternative hypothesis that there is a difference between the two years (Ha: P2 - P₁ does not equal O), what is the test statistic? Round your answer to two decimal places. Make sure to include a negative sign if appropriate.
In a recent study, 50 males used a new weight-loss supplement, and 39 of them experienced weight loss a 100 females used the same supplement, and 66 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 more effective on (Choose one) ▼ in the study. That is because only % of them failed to lose weight after two weeks, whereas % of the (Choose one) failed to lose weight after two weeks.
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 researcher wants to determine whether adolescents spend more time in a day around friends than adults do. He gathers a sample of n =10 adolescents (aged 12-17) and a sample of n =6 adults (aged 25-32). The researcher finds that the average time spent around friends for adolescents is M1= 3 hours with a SS1 of 44. He also finds that the average time spent around friends for adults is M2= 2 hours with a SS2 of 40. a. Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01? b. What is the variance? c. What is the estimated standard error? d. What is the value of the t statistic? e. Do we reject or fail to reject the null hypothesis (α = .01)? Why? f. Calculate and report the variance explained ( r2)
21 subpart a
Biologists in Minnesota are interested in determining if there is a difference in the invasion rate of Asian Carp (which can be detrimental to the environment) between the Mississippi River and Lake Mille Lacs. In the Mississippi River, it was found that 206 of 579 fish caught were Asian Carp. In Lake Mille Lacs, 28 of 132 fish caught were Asian Carp. Let p, = the true proportion of Asian Carp in the Mississippi River and let p2 = the true proportion of Asian Carp in Lake Mille Lacs. A test of Ho: P₁ = P2 vs. Ha: P₁ P₂ resulted in a p-value of 0.0015. Which of the following is a correct conclusion? (A) The test is not appropriate, since the researchers should have conducted a one-sided test. (B) The test is not appropriate, since the sample size is too small to conduct an inference test for proportions. (C) The test is not appropriate, since the two sample sizes are very different. (D) The p-value of this test is large, indicating we have sufficient evidence to conclude that a…
with my answer in screenshot 1 will you help me with the ones in screenshot 2 please
A sample of 323 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 to 65 mph, whereas a sample of 177 rural residents yielded 75 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? (a) Test H0: p1 − p2 = 0 versus Ha: p1 − p2 ≠ 0 using ? = 0.05, where p1 refers to the urban population. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.Reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents. Fail to reject H0. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of…

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