For questions 2-3, refer to the following table: Diagnosed epilepsy epilepsy No epilepsy Present (Yes) 35 20 55 Absent (No) 53 82 135 2- The proportion of individuals with diagnosed epilepsy that present without a depressive disorder is approximately a- 0.6023 b- 0.3977 c- 0.1961 d- 0.8039
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2 [8 pts] A researcher believes that the proportion of individuals with diagnosed epilepsy who present with a depressive disorder is higher than the proportion of individuals without diagnosed epilepsy. Depressive Disorder Present (Yes) Absent (No) 37 51 24 78 Diagnosed Epilepsy Epilepsy No Epilepsy a) Find and report the test statistics and p-value for this test. Sketch a normal curve showing the p-value and test statistic. b) State the decision and conclusion of the hypothesis test at a 10% significance level.
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Test whether people with a specific genetic marker are more likely to have suffered from clinical depression than people without the genetic marker; using the information that 40% of the 45 people in the sample with the genetic marker have had clinical depression, while 16% of the 750 people in the sample without the genetic marker have had clinical depression. Use subscripts for "1" to represent people who have the genetic marker and "2" for people who do not have the genetic marker. (a) Find the relevant sample proportions in each group and the pooled proportion. Round your answers to three decimal places, if necessary.
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Question 7 - There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random. Use normal approximation. Round the answers to four decimal places (e.g. 98.7654). (a) Approximate the probability that more than 200 persons in the sample have a disability. (b) Approximate the probability that between 180 and 300 people in the sample have a disability.
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