An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to include asmaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version ofthe drug, the proportion, p, of people who find relief is lower than 65%. A random samnple of 245 patients who use the new version is selected by theresearcher, and 156 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.01 level of significance?Perform a one-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 table. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.Ho文S.H :(b) Determine the type of test statistic to use.D=D(Choose one) ▼□Sロ(c) Find the value of the test statistic. (Round to three or more decimal places.)OO(d) Find the p-value. (Round to three or more decimal places.)(e) Can we support the claim that the proportion of people who find relief fromdepression using the new version of the drug is lower than 65%?O Yes ONo

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Similar questions

What is an experiment?
What is meant by the sample space of an experiment?
In 1990, 58% of Americans 18 years old and older reported they have a great deal of concern regarding air pollution. A recent poll found that 592 of 1004 Americans 18 years old or older stated that they have a great deal of concern regarding the level of air pollution in American. Is there evidence to conclude that the current proportion of Americans having a great deal of concern about the level of air pollution in America is different from the 1990 proportion, with a 10% level of significance? State the null hypothesis, alternative hypothesis, test statistic, p-value and conclusion.
The sales rep of a waterbed claims that 25% of the Filipino died because of cardiovascular diseases. A researcher wants to test this claim. A hospital record shows that out of a random sample of 200 dead patients, 55 patients died because of cardiovascular diseases. Does the data provide sufficient evidence to support the claim of the sales rep? Use 0.03 level of significance.
According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 98.3 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 21 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 96.3 years with a sample standard deviation of 15.2 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the claim that μ , the mean lifespan of giant Aldabra tortoises in the wild, is now less than 98.3 years. (a) State the null hypothesis H0 and the alternative hypothesis H1 that you would use…
The 5-year incidence of cardiovascular disease (CVD) in relation to smoking status was determined in a population sample of 1000 men, 18 years and older. At baseline, 30% of the men were classified as being current smokers and 70% as being non-smokers. At the end of the follow-up, 60 CVD events had occurred among the smokers and 70 events among the non-smokers. Construct a 2 x 2 table based on the data provided
Inadequate exposure to outdoor lighting conditions may increase the risk of myopia in children. A study was designed to estimate the rates of myopia among young children (6-7 years old) in Australia. A random sample of 124 young children in Australia was selected, and the researchers found that 7 of them had myopia. The researchers are interested in testing whether the proportion of myopia among young children in Australia is above 4%. What are the null and alternative hypotheses? [Select ) What is the test statistic? [ Select] What is the correct conclusid if our alpha value is 0.05? Select from below [ Select ] A. Our test statistic is more extreme than our critical value of 1.645. We reject the null hypothesis and conclude that more than 4% of Australian young children has myopia. B. Our test statistic is less extreme than our critical value of 1.645. We fail to reject the null hypothesis and cannot conclude that more than 4% of Australian young children has myopia. C. Our test…
It was reported that only one job vacancy was available for three recent college graduates. The main reason is that there is an excess of college graduates and a weak national economy. A survey of 100 recent graduates from your college reveals that 60 graduates have found work. At the 0.05 level of significance, can we conclude that the proportion of graduates who have found employment is greater?
Recent incidents of food contamination have caused great concern among consumers. An article appearing in a consumer magazine reported that 36 of 80 randomly selected Brand A chickens (Group 1) tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food- borne disease, whereas, 48 of 80 Brand B chickens (Group 2) tested positive. Do the samples provide enough evidence to conclude the true proportion of all contaminated Brand A chickens would differ from that of the Brand B chickens? Test using the level of significance a = 0.01. Remember to (i) Explicitly give both hypotheses (ii) Calculate the test statistic (ii) Give the rejection region using the critical value (iv) Give a decision

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