There are four questions about this problem in the test shown in random order. Out of 1000 customers in the test data, there are only 100 buyers. A classification model ap to these customers, predicts 200 buyers. If buying is regarded as positive, there are 50 true noritiver
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- An experiment was conducted to determine whether a test designed to identify a certain formof mental illness could be easily interpreted with little psychological training. The test was givento 100 people (half of which had the illness, and half did not) and fifteen people were asked toevaluate them. The fifteen judges were five staff members of a mental hospital, five trainees atthe hospital, and five undergraduate psychology majors. The results in the table give the numberof the 100 tests correctly classified by each judge. Analyze the data with the Kruskal-Wallis orFriedman test statistics.Staff Trainees Students78 80 6576 69 7480 75 7879 81 8086 72 75a) Is there evidence to suggest that there are differences between staff, trainees, and…Researchers conducted a study to find out if there is a difference in the use of online-learning by different age groups. Randomly selected participants were divided into two age groups. In the 16 to 29-year-old group, 7% of the 628 surveyed use online-learning, while 11% of the 2,309 participants 30 years old and older use online learning. (Set 1 for 16-29 year old group; Set 2 for 30 years old and older). Decision and conclusion: Reject the null hypothesis or do not reject the null hypothesis?They sampled 361 people. People were allowed to self-identify as a heavy smoker or a non-smoker (mutually exclusive outcomes), and as diagnosed with lung cancer or not diagnosed with lung cancer (mutually exclusive outcomes). All surveyed people were under the age of 55, with similar age distributions in the smoking and not smoking categories. 343 people said that they did not smoke, and of those 343 people, 58 had been diagnosed with lung cancer. Only 18 people said that they were heavy smokers, and of those 18, 14 had been diagnosed with lung cancer. Please Calculate the expected count of people for each cell of the contingency table if the standard null hypo of the chi-square test of independent comes out to be true?
- A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. Before opening the data, what would you hypothesize about this research question? Open the data set. Before running any statistical analyses, glance through the data. Do you think that your hypothesis will be supported? Conduct descriptive analyses and report them here. Conduct a one-way ANOVA. Report your statistical findings (including any applicable tables in APA format) here. What would you conclude from this analysis? What would be your next steps, if this…There are two main fishing spots in a certain video game, a river and a lake. In the river, out of the 57 fish that were caught, 31 of them were trout. In the lake, out of the 64 fish that were caught, 24 of them were trout. Use a significance level of a = 0.02 to test the claim that the proportion of trout in the river is greater than the proportion of trout in the lake. Let the river represent population 1, and the lake represent population 2. a.) State the null and alternative hypothesis using correct symbolic form. Ho: P1 P2 H1: P1 + P2 b.) What is the critical value? (round to two decimal places)A college instructor gave identical tests to tworandomly sampled groups of 35 students. Onegroup took the test on paper and the other tookit online. Following are the test scores: Paper- 79, 75, 49, 78, 73, 81,70, 63, 79 ,65, 60, 74, 64, 64, 74, 69, 57, 65, 61, 58, 92, 71, 69, 66, 71, 68, 67, 81, 78, 80, 76, 67, 49, 56, 45, Online- 79, 75, 71, 81, 56, 72, 49, 75, 63, 81, 74, 72, 71, 73, 83, 59, 78, 65, 53, 47, 63, 82, 81, 76, 65, 82, 78, 76, 65, 72, 85, 84, 81, 50, 79, a. Can you conclude that there is a difference in themean score between the paper and onlinetesting? Use a 5% level of significance.b. Construct a 95% confidence interval for thedifference in mean scores between paper andonline testing. Please explain how to know what test needs to be performed and how to solve it using a Ti83 calculator. Thank you
- A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Illinois and Massachusetts. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Illinois is greater than the mean annual income of childcare workers in Massachusetts. To see if this is true, the firm selected random sample of 25 childcare workers from Illinois and an independent random sample of 25 childcare workers from Massachusetts and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 45679, 47412, 38478, 44646, 44364, 45265, 41423, 45861, 45936, 34016, 43020, 4960o8, 43710, 45738, 41546, 38681, 34889, 39468, 45463, 53593, 40847, 38255, 45708, 57662, 54356 Illinois 41743, 36349, 44588, 40341, 32544, 38226, 46463, 42255, 38621, 32502, 37378, 40215, 41155, 38509, 47586, 46910, 56502, Massachusetts 48907, 41861, 51211, 55186, 39078, 48263, 48059,…A survey was conducted among the employees of a certain company and they were asked about their weekly travel expenses. A random sample of 20 employees had the following answers: 120, 85, 94, 67, 112, 88, 92, 110, 125, 70, 83, 90, 84, 86, 94, 112, 92, 90, 78, 100 What is the mean weekly travel expenses of the 20 employees?A study was done to know if there is a relationship between obesity and atherosclerosis. A total of 775 participants was studied and there were about 312 participants with atherosclerosis. About 309 participants were not atherosclerotic and not obese, and of the 312 atherosclerotic participants about 143 were not obese. TOTAL TOTAL 10. What is the incidence among those who are obese? 11. What is the incidence among those who are not obese? 12. What is the incidence of atherosclerosis that can be attributed to obesity? Use the already rounded-off answers in the previous items when computing.
- Assume that 800 births are randomly selected and 39 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.600 students at Drew High School were surveyed. 269 of them were males. 455 of the students' wear jewelry, and 300 of the students that wear jewelry are females.A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?