A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Question
Transcribed Image Text:The study shows that for lung cancer, less than 5% of patients were cured in
Denmark and Poland, whereas more than 10% of patients were cured in Spain. To
test the claim regarding proportion of cured cancer patients in Spain, a random
sample of 500 patients yielded 39 who were cured. Perform the appropriate test of
hypothesis to write your conclusion.
Hо: р
= 0.10 versus Ha:p > 0.10. Reject Ho
Но: р 3
= 0.10 versus Ha:p < 0.10. Accept Ho
No conclusion
Ho:p =
= 0.10 versus Ha:p > 0.10. Accept Ho
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
Similar questions
- Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the null and alternative hypothesis?arrow_forwardQuestion 6 > Hypotheses and Conclusions: According to the Centers of Disease Control, about 20% of American young people between the ages of 12 and 19 are obese. A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 20%. a) Which are the appropriate null and alternative hypotheses for this study? O Ho: p = 20% HA: P = 20% O Ho: p = 20% HA: P 20% O Ho: P = 0 HA: P = 0 b)Suppose that the result of the statistical test is to Reject Ho. Which is the proper conclusion? O There is not sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. O There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. O There is not enough information to answer this question. O The test has proved that the students at his local schools have a smaller proportion of obese…arrow_forwardResearchers compared the balance of a sample of elderly (E) patients with that of a separate sample of younger (Y ) patients. They exposed members of each age group to unpredictable noises and measured the amount of forward and backward sway. To test whether the elderly tend to sway more, they should choose which pair of hypotheses?arrow_forward
- Suppose are running a study/poll about the proportion of men over 50 who regularly have their prostate examined. You randomly sample 116 people and find that 99 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running: Но: р — 0.83 На :р> 0.83 Calculate the test statistic, rounded to 3 decimal places = Zarrow_forwardPreviously, 11.2% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 85 workers and finds that 11 of them have a travel time to work that is more than 60 minutes . Test the economist's belief at the a= 0.1 level of significance What are the null and alternative hypotheses? what are the null and alternative hypotheses? Because np0(1-p0)= < ? 10, Find the P-value.arrow_forwardIncreasing numbers of businesses are offering child-care benefits for their workers. However, one union claimsthat more than 85% of firms in the manufacturing sector still do not offer any child-care benefits to theirworkers. A random sample of 490 manufacturing firms is selected and asked if they offer child-care benefits. Suppose the P-value for this test was reported to be p = 0.1070. Use ? = 0.10. A) Hypothesis: Ho : Ha :B) Decision about Ho based on the statistic.C) Conclusion about the problem statement.arrow_forward
- A new drug is tested in two peer-reviewed studies, A and B. Both studies provide evidence that the new drug is an improvement (The null hypothesis, that the new drug does not help, is rejected). But the researchers who conducted study A report a p-value of 8.2%, the team from study B obtained a p-value of only 2.3%. Which study provides the stronger evidence in favor of the new drug? Choose the most appropriate answer. a. Study B, because follow-up studies usually provide stronger evidence. b. Study A, because their p-value is bigger. c. Study A, because it was done by real researchers, and B only by a 'team'. d. Study B, because their p-value is smaller. e. The evidence from both studies is too weak.arrow_forwardA marriage counselor has traditionally seen the proportion pee of all married couples from her communication program can prevent divorce and 79%. After making some recent changes, The marriage counselor now claims that our program can prevent divorce is more than 79% of married couples. And a random sample of 230 married couples who completed her program, 194 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselors claim at the 0.10 level of significance?arrow_forwardResearchers wanted to know if therapy could help smokers quit smoking. Of the 71 smokers they tested, 39 were smoking one year after treatment. Use a 0.05 significance level to test the claim that the majority are smoking one year after treatment. What is/are the critical value(s)? ттT Arial 3 (12pt) v TE -E · -arrow_forward
- A random sample of n1n1 = 236 people who live in a city were selected and 90 identified as a "dog person." A random sample of n2n2 = 103 people who live in a rural area were selected and 56 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. ___________< p1−p2p1-p2 <_____________arrow_forwardA trucking company claims that when it ships eggs, 93% of the eggs will arrive unbroken. You check 350 of the eggs that the trucking company shipped and found that 315 eggs were unbroken. Can the trucking company’s claim be supported to a level of significance of α = .03, test the hypothesis.arrow_forwardPreviously, 13.6% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 70 workers and finds that 12 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level of significance. What are the null and alternative hypotheses? P = Ho: p 0.136 versus H1: 0.136 p > (Type integers or decimals. Do not round.) Because npo (1- Po) < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.) ERest Converterarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON