Based on the above information, the kappa estimate for the reliability of the two doctors' results is:
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Two neurologists, Drs. J and K, independently examined 70 magnetic resonance images (MRIs) for evidence of brain tumors. As shown in the table below, the neurologists read each MRI as either “positive” or “negative” for brain tumors.
| Dr J | ||
| Dr K | Positive | Negative |
| Positive | 26 | 12 |
| Negative | 14 | 18 |
Based on the above information, the kappa estimate for the reliability of the two doctors' results is: [Present your answer as a decimal fraction (two digits after the decimal point, round if needed). Example: 0.01]
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- A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05A public research company says that 63% of U.S. adults are concerned about their jobs because of the current state of the economy. A social services group surveys 500 adults and has a result of 70%. Using an alpha of.05 test the hypothesis claim of 63%An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)
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- 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 135934Dr. Romanoff reported the following in a journal: “F (5, 106) = 10.09, p = .04.” Should Dr. Romanoff state that there are significant differences among the variable means at a .05 alpha level?A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing. For additional practice, compute the means and standard deviations for each group. What is the purpose of a post hoc test? What does it tell us? Explain why we do not need a post hoc test if there are only two groups in our study. Conduct Tukey's HSD post hoc test to determine where there is a difference in the three groups.
- A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing and compute the means and standard deviations for each group.A random group of apartments was selected from a city to analyze the number of bedrooms they have. there evidence to reject the hypothesis that the apartments are equally distributed between 1-bedroom, 2 bedroom and 3-bedroom apartments , at alpha = 0.05A card company claims that 80% of all American college students send a card to their mother on Mother's Day. You take a random sample of 125 American college students and find that 70% of them sent a card to their mother on Mother's Day. At a .05 alpha level, can you prove or disprove the card company's claim? Show all work.
