A controlled experiment was conducted to test the effectiveness of a new drug. Under this experiment 300 patients were treated with new drug and 200 were not treated with the drug. The results of the experiment are given below : Cured Condition worsened Details No effect Total Treated with the drug 200 40 60 300 Not treated with the drug 120 30 50 200 Total 320 70 110 500 Use x and comment on the effectiveness of the drug.
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- An ornithologist thinks that injections of follicle-stimulating hormone (FSH) increase the singing rate of his captive male cotingas (birds). To test this hypothesis, he randomly selects 20 singing cotingas and divides them into two groups of 10 birds each. The first group receives injections of FSH and the second gets injections of saline solution, as a control for the trauma of receiving an injection. He then records the singing rate (in songs per hour) for both groups. The results are given in the following table. Note that two of the FSH birds escaped during injection and were not replaced. a.) What is the alternative hypothesis? Use a directional alternative hypothesis. b.) What is the null hypothesis? c.) Using the Mann-Whitney U test and alpha=0.05tail what is your conclusion?In the current pandemic, researchers are working on creating antibody tests to determine which individuals have already had an infection caused by the COVID-19 virus. If someone has been infected, then they will have certain antibodies in their system and the hope is that a highly accurate test can be created to detect these antibodies. Assume a researcher creates a new antibody test, which for individuals who are known to have had the infection in the past and thus truly have the COVID-19 antibodies, gives a positive result 95% of the time. This same test gives a negative result 90% of time for people who do not have the antibodies. Assume that COVID-19 has affected 5% of the population in the region of interest. What is the probability someone has NOT been infected previously given that their antibody test result comes back positive? [four decimals]A study conducted by researchers was designed "to determine if application of duct tape is as effective as cryotherapy in the treatment of common warts." The researchers randomly divided 6969 patients into two groups. The 3535 patients in group 1 had their warts treated by applying duct tape. The 3434 patients in group 2 had their warts treated by cryotherapy. Once the treatments were complete, it was determined that 6969% of the patients in group 1 and 8585% of the patients in group 2 had complete resolution of their warts. The researchers concluded that cryotherapycryotherapy is significantly more effective in treating warts than duct tapeduct tape. Complete parts (a) through (d) below.(a) What is the research objective? A.To determine if duct tape is as effective as cryotherapy in the treatment of warts B.To determine if cryotherapy is as effective as duct tape in the treatment of warts C.To determine if cryotherapy is effective in the treatment of warts D.To determine if…
- The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 120 users of the current system, the University finds that 65 say they like the current system. In another sample of 90 experimental users of the “new” system, the University finds that 70 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, the p-value is .2943; what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisin a school , 202 out of the 5900 children had developed lung disease.it was also found that children who were active ( burnig about 3500 caloeries daily ) were a third likely to develop lung disease as compared with children who were following a sedentary lifestyle . assume that 1 in 20 children is very active , and the rest are classified as sedentary find the prob that a child with lung disease is very activeResearchers investigated the possible beneficial effect on heart health of crinking black tea and whether adding mikk to the tea reduces any possible benefit Tiventy-four volunteers Were randomly assigned to one of three groups Every day for month; participants in group drank twvo cups ofhot black tea without mikk; participants in group drank two cups of hot black tea with milk; and participants in group drank twvo cups ofhot water but no tea At the end of the month the fesearchers measured the change in each of the participants heart health. Is it reasonable to zeneralize the study beyond the 24 participants? Explain why or why not.
- A local dairy conducted taste tests of their nonfat and low fat cream cheese spreads at three supermarkets on one Saturday. They asked people to compare a cracker with their low fat spread on it and another cracker with the nationally known brand of the same type of spread. At one supermarket, everyone who came to the testing table, located just inside by the front door, and asked to participate was included. At a second market, only people who appeared to be older teenagers and adults were allowed to participate. The testing table was in the section of the store where paper goods are sold. At the third store, the testing table was in the dairy section and everyone who was asked to participate was included. However, they ran out of one of the products and had to stop the test three hours earlier than they planned. The table below shows how many people were tested at each location and their stated preferences Store A Store B Store C Number tasters = 258Number preferring local brand…The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 140 users of the current system, the University finds that 75 say they like the current system. In another sample of 85 experimental users of the “new” system, the University finds that 72 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the null and alternative hypothesis?The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.Traffic Count Dates 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934
