Suppose two cellphones are tested at random. We want to find out the number of defective cellphones that occur. In order to write the result easily, use D for the defective cellphones and N for non defective Determine the number of defective cellphones that may occur. Is this continuous or discrete?
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Suppose two cellphones are tested at random.
We want to find out the number of defective cellphones that occur.
In order to write the result easily, use D for the defective cellphones and N for non defective
Determine the number of defective cellphones that may occur. Is this continuous or discrete?
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- Suppose P(A) = P(B) = 0.25 and P(AUB) = 0.45. What is P(AN B)?Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer wras started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who vwere diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. A USE SALT (a) If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested. O Hgip + O H;: p > O H: p= O Hgi p O Ho: P = O Hoi p * (c) If 194 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a = 0.05. Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)…In this tab, we will run a statistical test to help us determine whether the bagworm is really preferring evergreen trees and shrubs over deciduous trees and shrubs. In this problem we are treating bagworm number as a continuous variable. Our statistical null hypothesis for this test is: The mean number of bagworms on evergreen trees will be the same as the mean number of bagworms on deciduous trees. Our statistical alternate hypothesis for this test is: The mean number of bagworms on evergreen trees will be different than the mean number of bagworms on deciduous trees. 1. Because you will be comparing the means of two groups and you are not specifying which direction the difference will be in, which test should you use? Highlight the correct answer below using the same color font you have been using for your other answers. i. Unpaired student’s t-test, one-tailed ii. Unpaired student's t-test, two-tailed iii. Paired student's t-test, one-tailed iv. Paired student's t-test, two-tailed…
- A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 93 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 18 of them to take 1000 mg of Vitamin C and the rest to take no Vitamin C. At the end of the study, it was determined that 30 of the volunteers did not have any colds where 15 of them were in the 500 mg group, 11 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary. Fill in the hypotheses below: Ho: There is not vitamin C taken. Ha: There is vitamin C taken. Complete the table of expected counts under the null hypothesis: No Vitamin C 500mg Vitamin C 1000mg Vitamin C No Vitamin C 500mg Vitamin C 1000mg Vitamin C At least one cold 33.194 an association between the incidence of colds and the amount of an association between the incidence of colds and the amount of 17.613 12.194…A recent study claims that 40% of registered voters associate themselves with Democrats. 35% with Republicans, 20% Independent, 3% Green party, and 2% with Social democrats. In a sample of 400 individuals, we observed 200 Democrats 150 Republicanse 25 Independente 15 Green Partye 10 Social Democrats Test the claim at a=0.05.eSuppose that 6% of a particular population have a particularly nasty disease. There is a test for the disease that correctly identifies those with the disease 98% of the time. However, the same test gives a false positive 1% of the time. Suppose that a random person from this population is given the test as part of a wellness exam. Give answers in decimal form rounded to 4 decimal places as needed. A. Suppose that a random person comes in for a wellness exam and tests positive for the disease. What is the probability that she actually has the disease? B. Suppose that a person comes in for a wellness exam and tests negative. What is the probability that this person does not have the disease? C. What proportion of the total population will test positive? D. What proportion of the total population will not have the disease and will test negative?
- The following are boxplots of the numbers of hits at a certain website for the different days of the week. True or false? Less than 25 percent of Thursdays had a higher number of hits than the busiest Saturday.An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of α = 0.05 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course. Student 1 2 3 4 567 Score on first SAT 380 440 470 490 440 Score on second SAT 420 530 530 550 460 420 410 490 430 Step 1 of 5: State the null and alternative hypotheses for the test. Answer 0 Ho: Md 0 Ha IVA A VI Copy Data Tables Keypad Keyboard ShortcutsThe manager of a local record store is interested in the effectiveness of an advertisingcampaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100),and place an ad in the local school newspaper saying that the store has these (and more)in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for1 week after the ad. The number of CDs sold each week is presented below. Was there anincrease in the number of CDs sold after the ad? Conduct a 6-step hypothesis test.CD Numbersold beforeadNumbersold after adA 25 32B 18 24C 3 7D 42 40E 16 19F 20 25G 23 23H 32 35I 60 65J 40 43 Please solve using 6 steps hypothesis and solve in excel
- An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of a = 0.01 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course. 1 234567 520 570 540 380 370 490 450 Student Score on first SAT Score on second SAT 540 600 610 470 410 510 480 Step 1 of 5: State the null and alternative hypotheses for the test. Answer 0 Ho: Md 0 Ha Ma IA IV V A || < = Copy Data Tables Keypad Keyboard ShortcutsA certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim? Let d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs)d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs). Use a significance level of α=0.05 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs. Golfer 1 2 3 4 5 6 7 8 Score (old design) 93 86 84 96 89 81 92 94 Score (new design) 91 90 80 92 91 77 89 87 Step 1 of 5:State the null and…
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