O A) We are 90% confident that the difference between the sample proportions of procedures performed in the large and small intestines is between 0.1714 and 0.1886. 0 B) We are 90% confident that the difference between the true population proportions of procedures performed in the large and small intestines is between 0.1697 and 0.1903. 0 C) We are 5% confident that the difference between the true population proportions of procedures performed in the large and small intestines is between 0.1697 and 0.1903. 0 D) We are 100% confident that the difference between the true population proportions of procedures performed in the large and small intestines is between 0.1665 and 0.1935. 0 E) We are 90% confident that the difference between the true population proportions of procedures performed in the large and small intestines is between 0.1714 and 0.1886. Previous Page Next Page Page 10 Of 11 Suppose a director of patient care services is interested in determining the difference in proportion of surgeries performed on the large and small intestines. From her collated latest online reports from different hospitals in her state, she noted that 40% of surgeries are performed in the large intestines of patients (out of large = 15,000) and 22% are on the small intestines of patients (out of nsmall = 15,000). [Source: Hall, M.J, Schwartzman, A. Zhang, J. and Liu, X. (2017). Ambulatory Surgery Data From Hospitals and Ambulatory Surgery Centers: United States, 2010 (102). National Health Statistics Report. Retrieved from https://www.cdc.govchs/datahsrhsr102.pdf] Construct a 90% confidence interval for the difference in proportions, Plarge - Psmall, and interpret it. Hint: Use at least 4 decimal places for your SE. OIn 2016, thousands of Americans became HIV positive through drug injection [Source: https://www.avert.org/professionals/hiv-around-world/western-central-europe-north-america/usa]. Suppose we have the following breakdown of patients diagnosed with HIV related to drug use. Using the sample data below, conduct a test of significance (at 5% level of significance) to verify if the proportion of HIV-positive Caucasians is greater than that of the Hispanic group. Ethnicity Sample size (n) Proportion infected through injection Caucasian (or C) 70 0.41 Hispanic (or H) 65 0.23 O Which of the following is the test statistic? O ( A) t = 0.01 O B) Z = 0.01 O C) Z = 0.28 ( D) t = 2.29 ( E) Z = 2.29