Two neurologists examined 55 magnetic resonance imagings (MRIs) for evidence of brain tumors. As shown in the table below, the neurologists read each MRIs as either positive or negative for brain tumors. NEUROLOGIST 1 TOTAL POSITIVE NEGATIVE POSITIVE 20 6 26 NEUROLOGIST 2 NEGATIVE 14 15 29 TOTAL 34 21 55 Compute for the percent agreement observed, using all of the cells in the table.
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- In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. PPIC researchers find that 68 out of 200 Central Valley residents approve of the California Legislature and that 156 out of 300 Bay Area residents approve of the California Legislature. PPIC is interested in the difference between the proportion of Central Valley and Bay Area residents who approve of the California Legislature. PPIC researchers calculate that the standard error for the proportion of Central Valley residents who approve of the California Legislature minus Bay Area residents who approve of the California Legislature is about 0.044. Find the 95% confidence interval to estimate the difference between the proportion of Central Valley and Bay Area residents who approve of the California Legislature. (-0.224, -0.136) (0.094, 0.266) (-0.266, -0.094) (0.136, 0.224)A university dean is interested in determining the proportion of students who recieve some sor of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 4% with 90% reliabilty, how many students would need to be sampled?In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents favor the construction while only 59 of 125 suburban residents are in favor. Is there a significant difference between theproportions of urban and suburban residents who favor construction of the nuclear plant? Use 0.01 level of significance
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?A public opinion poll surveyed a simple random sample of 1000 voters. Respondents were classified by gender (male or female) and by voting preference (Republican, Democrat, or Independent). Results are shown in the contingency table at right. Based on this information, Do the men's voting preferences differ significantly from the women's preferences? Use a 0.05 level of significance.A survey of 2321 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 403have donated blood in the past two years. (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.
- The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown in the excel worksheet. Predict the midterm grade if the prelim grade is 85.In a recent poll, 800 voters were randomly sampled and asked whether they would approve of the building of an incinerator in the state. According to the poll, 450 voters approved and 350 voters disapproved. Is there enough evidence to argue that more than 50 % of the voters support the building of the incinerator? Use a 5 % level of significance.