Researchers are concerned about the rise in gun violence in their community among the adolescent population. Suppose the researchers believe that this rise in violence is due to an increase in depressive symptoms among the demographic aged 11-17. Suppose the researchers estimate that only 21% of this population suffers from depressive-like symptoms. a) What is the probability of finding no one with depressive-like symptoms in a sample of 8? X~b(8,0.21) (1 point) (Example answer .####) b) What is the probability that at least 2 respondents of a sample of 8 report these symptoms? (1 point) (Example answer .####) c) What is the expected number of adolescents in the sample to report the symptoms? (1 point) 1.68 (Example answer #.##)
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This is a binomial distribution problem with n = 82 and p = 0.21. We want to find P(X = 0). P(X = 0) = C(82, 0) * (0.21)^0 * (1 - 0.21)^82 P(X = 0) = 1 * 1 * (0.79)^82 P(X = 0) ≈ 1.84 * 10^{-9} So, the probability of finding no one with depressive-like Show more…
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In a recent household telephone survey of 2,820 adults in a certain country, 26% reported that they own at least one gun. The researchers want to estimate the true percentage of adults in the country that own at least one gun. Complete the parts below: Identify the population of interest to the researchers. Choose the correct answer below: a) The set of guns in the country b) The set of adults that responded to the survey c) The set of adults in the country that own a gun d) The set of all gun ownership status (yes/no) values for all adults in the country Identify the parameter of interest to the researchers: The parameter of interest is: Compute an estimate of the population parameter: 26% (Type an integer or decimal) d. Form a 99% confidence interval around the estimate: (Round to two decimal places as needed:)
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Refer to the Harvard School of Public Health survey to determine the size and composition of privately held firearm stock in the United States, presented in Exercise 3.85 (p. 183). Recall that, in a representative household telephone survey of 2,770 adults, $26 \%$ reported that they own at least one gun (Injury Prevention, Jan. 2007). The researchers want to estimate the true percentage of adults in the United States that own at least one gun. a. Identify the population of interest to the researchers. b. Identify the parameter of interest to the researchers. c. Compute an estimate of the population parameter. d. Form a $99 \%$ confidence interval around the estimate. e. Interpret the confidence interval practically. f. Explain the meaning of the phrase "99\% confident."
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