Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices. So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles. Indicate which of the following is the null hypothesis, and which is the alternate hypothesis. There food preferences among vole species are independent of one another. There is a relationship between voles and food preference. To test for independence, we need to calculate the Chi-square statistic. These are the data that Dr. Pagels collected: meadow voles common voles apple slices 15 21 peanut butter-oatmeal 25 16
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- Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices. So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles. To test for independence, we need to calculate the Chi-square statistic. These are the data that Dr. Pagels collected ( the attachment): You will want to use Excel (or Google sheets) to do the calculations for you, so that your answers are exact (they need to be exact to get credit. Here is a Google sheet to get you started. When transferring your answers, make sure you carry them out to AT LEAST SIX SIGNIFICANT FIGURES unless otherwise stated. Round your final answer to 4 decimal…Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?Researchers investigated whether elementary school students from families in need would choose healthier lunch options if offered. A random sample of students receiving free-and-reduced lunch at five different Connecticut elementary schools were offered a choice between 2 lunch options. One was a typical school lunch prepared off and warmed on campus, while the other was a healthier school lunch made on campus from a variety of fruits, vegetables, and lean protein. For each child, researchers kept track of whether or not the child selected the healthier option. The research question was whether of not the healthier option would be selected less than the typical school lunch. More specifically, we will investigate whether the sample data provide strong evidence that the heather lunch is picked less than 50% of the time? The researchers found in their sample of 294 students that 134 picked the healthier option. The value of the sample proportion who selected the candy is therefore…
- 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?Two years ago the manager of a local supermarket that sells three national brands (brands A, B, and C) and one store brand (brand D) of orange juice found that brands A and C were equally preferred, 33% preferred brand B, and 27% preferred the store brand, D. Now, the manager thinks that there has been a change in customer preferences and that the preference for store-brand orange juice has increased and perhaps will positively contribute to increased profits. The results from a recent random sample of shoppers indicate the following preferences.Favorite brand A B C D (store brand)Number 56 70 28 126Has there been a change in customer preferences from the study 2 years ago?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…
- A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. In the study, a group of researchers studied 1072 subjects. The subjects were randomly assigned to one of three study groups. The first group of 410 subjects were instructed to take 600 mg daily of vitamin C. The second group of 358 subjects were instructed to take 600 mg of vitamin C and 200 IU of vitamin E daily. The third group of 304 subjects were instructed to take 600 mg of vitamin C and 400 IU of vitamin E daily. The incidence of flu over a season was recorded. All subjects knew which treatment they were receiving. The study reported that 300 subjects in each group self-reported no flu for the season, so the vitamin E does not help fight the flu. This statement is false because:• not all groups have the same number of subjects.• not all the subjects took vitamin C.• the amount of vitamin C was different. It would be better to show the results…Researchers 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.Which concrete is best sold where? The marketing team of an engineering firm noticed that some of their concrete products are having trouble being sold at some of their distribution points. So they decided to investigate the sales for three concrete types: high-strength concrete, stamped concrete, and high-performance concrete. After consulting with the sales managers at three of their distribution points (A, B and C), they suspected two possibilities as potential reasons for the sales problem. The first is simply that some concrete types just sells better than others. The second is that in general, concrete sells in some places better than in others. So, they thought that if the first reason was true, they would have to just cut down on the production of the concrete types which don’t sell well. But if the second reason was true, then they would just limit normal distribution of concrete to places where it sells well. To clear these issues out they conducted a study. For each…
- A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. In the study, a group of researchers studied 1132 subjects. The subjects were randomly assigned to out of three study groups. The first group of 310 subjects were instructed to take 600 mg daily of vitamin C. The second group of 418 subjects were instructed to take 600 mg of vitamin C and 200 IU of vitamin E daily. The third group of 404 subjects were instructed to take 600 mg of vitamin C and 400 IU of vitamin E daily. The incidence of flu over a season was recorded. All subjects knew which treatment they were receiving.In this study, which is the control group? the second group of 418 taking 200 IU of vitamin E the third group of 404 taking 400 IU of vitamin E the 1132 subjects the first group of 310 taking vitamin C alone There is no control group.A florist wants to determine if a new additive would extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations from the ones recently delivered by the greenhouse and places the first 10 in water with the new additive and remaining 10 in water with the original additive. After three weeks, 6 carnations placed in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The proportion of healthy carnations with the new additive was significantly greater than the proportion of healthy carnations with the original additive. Which of the following is a valid conclusion? Conclusions about cause and effect for the additives can be made, because the florist randomly selected the 20 carnations; additionally, inferences can be made about the population of carnations at the greenhouse. Conclusions about cause and effect for the additives cannot be made, because the florist did not…A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug. a. This study compared two What were the populations? b. Do you suppose the data were obtained in a survey or an experiment? c. For the population of women whose mothers took the drug DES during pregnancy, a sample of 3980 women showed that 63 developed tissue abnormalities that might lead to Provide a descriptive statistic that could be used to estimate the number of women out of 1000 in this population who have tissue abnormalities. d. For the population of women whose mothers did not take the drug DES during pregnancy, what is the estimate of the number of women out of 1000 who would be expected to have tissue abnormalities? e. Medical studies often use a relatively large sample (in this case.3980).Why?