Start of the first question says "placebo: 56 of the 70..."Please explain step by step
u. 10. 11. 12. 13. \\I; 11.11 LAlJuirLuLiuz LULLIPLIALLLI. unL. uuuLanu. U1 LLIJIJL ItLlLIAI. u]. 1.4.]. uuuu un..u.u..u_n_. LILllLl "nu; uuwu U1 1. ymuuu. uu of the 70 patients who take the medicine improved their condition, while 45 of the 78 in the control group improved. The patients were randomly assigned at either treatment group or control group. What is the margin of error to estimate the difference in the proportions (ping; pcmmg) of subjects that experienced improvement with a 95% confidence interval? a. 0.105; d. 0.150; b. 0.122; c. 0.14.4; e. 0.238; (8) Conduct a hypothesis test to determine if the data on the previous questions (question 9) provides strong evidence that the improvement rate is different between treatment and control groups. Use treatment as group A and control as Group B. (i) What is the test statistic? (ii) What is the p-value? a (i) 3.03; (ii) 0.0024 b. (i) 2.91; (ii) 0.0036 c. (i) 3.03; (ii) 0.0012 d. (i) 2.91; (ii) 0.0018 e. (i) 0.08; (ii) 0.9362 (6) The distribution of rhesus monkey tail lengths is bell-shaped, unimodal, and approximately symmetric. The average tail length is 6.8 cm and the standard deviation is 0.44 cm. Roscoe has a tail that is 10.2 cm long. What conclusion can we make based on the information given? a. We can apply the empirical rule to conclude that Roscoe is a potential outlier because he falls more than three standard deviations away from the mean. b. We can apply the empirical rule to conclude that Roscoe is not a potential outlier because he falls within three standard deviations away from the mean. c. We cannot apply the empirical rule because the distribution does not t the criteria for the empirical rule. d. There is not enough information given to make any conclusions about potential outliers. (6) Based on a random sample of 120 rhesus monkeys, a 95% condence interval for the proportion of rhesus monkeys that live in a captive breeding facility and were assigned to research studies is (0.67, 0.83). Which of the following is true? a. 90 of the sampled monkeys were assigned to research studies b. the margin of error for the confidence interval is 0.16 c. a larger sample size would yield a wider confidence interval d. if we used a different confidence level, the interval would not be symmetric about the sample proportion e. none of the above are true (6) Suppose the population distribution of BM] among teenage girls is right-skewed. If you took a sample of 20 teenage girls, would the sampling distribution of average BMI follow an approximately normal distribution? a. Yes, because the shape of the population distribution does not affect the shape of the sampling distribution b. No, because the underlying population distribution is right-skewed, so no matter the sample size the sampling distribution cannot be normal. c. Yes, because we have more than ten observations, and according to the Central Limit Theorem that is large enough for the sampling distribution to be close to bell-shaped even though the underlying population distribution is right-skewed d. No, because the underlying population distribution is right-skewed and we have less than 30 observations, which is the cutoff used for the Central Limit Theorem to apply
