Question 4: [5 marks] To answer the questions, use the following table describing the percentage of people who reported contracting influenza by gender and race/ethnicity. Characteristic Percent (95% CI) Gender Men 48.8 (47.1 − 50.5%) Women 51.5 (50.2 − 52.8%) Race/ethnicity Caucasian 52.2 (51.1 − 53.3%) African American 33.1 (29.5 − 36.7%) Hispanic 47.6 (40.9 − 54.3%) Other 39.7 (30.8 − 48.5%) Total 50.4 (49.3 − 51.5%) Table 2: Influenza Forty-nine states and the District of Columbia participated in the study. Weighted means were used. The sample size was 19,774. There were 12,774 women and 7000 men. (a) Explain what (95% CI) means. (b) How large is the error for men reporting influenza? (c) What is the sample size? (d) How does sample size affect the size of the confidence interval? (e) Would the confidence intervals be larger or smaller for a 90% CI, using the same data? (f) Where does the 51.5% under influenza for women fit into its associated 95% CI?

Question 4: [5 marks] To answer the questions, use the following table describing the percentage of people who reported contracting influenza by gender and race/ethnicity. Characteristic Percent (95% CI) Gender Men 48.8 (47.1 − 50.5%) Women 51.5 (50.2 − 52.8%) Race/ethnicity Caucasian 52.2 (51.1 − 53.3%) African American 33.1 (29.5 − 36.7%) Hispanic 47.6 (40.9 − 54.3%) Other 39.7 (30.8 − 48.5%) Total 50.4 (49.3 − 51.5%) Table 2: Influenza Forty-nine states and the District of Columbia participated in the study. Weighted means were used. The sample size was 19,774. There were 12,774 women and 7000 men. (a) Explain what (95% CI) means. (b) How large is the error for men reporting influenza? (c) What is the sample size? (d) How does sample size affect the size of the confidence interval? (e) Would the confidence intervals be larger or smaller for a 90% CI, using the same data? (f) Where does the 51.5% under influenza for women fit into its associated 95% CI?