1. The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 535 of 1068 women and 421 of 1012 men suffered from some form of arthritis. Is this evidence that women are more likely to suffer from arthritis then men? Test an appropriate hypothesis using a significance level of 0.10 ( = 0.10). You can assume all conditions and assumptions are met. a. Write the Hypothesis. H0: HA: b. Find the P-value. P-value:_______________ c. Give the conclusion in context. (3 things needed) 2. Using the information given in question #1 above, create a 95% confidence interval for the difference in proportions of senior women and senior men who have this disease and interpret your interval in the context of the problem. Assume all conditions are met. Interval: Interval in Context: 3. A researcher wanted to see whether there was a significant difference in resting pulse rates for men and women. The data she collected is summarized to the right. For both groups, the data appear to be unimodal and symmetric. Is this evidence that resting pulse rates for men are higher than for women? Test an appropriate hypothesis using a significance level of 0.10 ( = 0.10). You can assume all conditions and assumptions are met. a. Write the Hypothesis for the test. H0: HA: b. Find the P-value. P-value:_______________ c. Give the conclusion in context. (3 things needed) Conclusion in context: Male Female Count 28 21 Mean (beats per minute, bpm) 72.8 72.4 Standard deviation (bpm) 5.3 7.7 4. Using the information given in question #3 above, create a 90% confidence interval for the difference in mean resting pulse rates for men and women and interpret your interval in the context of the problem. Interval: Interval in Context: 5. To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the data in the table below. Is this evidence that sons are taller than their fathers? Test an appropriate hypothesis using a significance level of 0.10 ( = 0.10). You can assume all conditions and assumptions are met. Note: A normal probability plot and a boxplot show the differences to be approximately normal. Matched Pair 1 2 3 4 5 6 7 8 9 10 11 12 13 Height of father (in.) 70.3 67.1 70.9 66.8 72.8 70.4 71.8 70.1 69.9 70.8 70.2 70.4 72.4 Height of son (in.) 74.1 69.2 66.9 69.2 68.9 70.2 70.4 69.3 75.8 72.3 69.2 68.6 73.9 a. Write the Hypothesis for the test. H0: HA: b. Find the P-value. P-value:_______________ c. Give the conclusion in context. (3 things needed) Conclusion in context: 6. Using the information given in question #5 above, create a 90% confidence interval for the mean difference in heights between father and son and interpret your interval in the context of the problem. Interval: Interval in Context