(1) In a full complete English sentence using the following summary statistics a
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Question
(1)
In a full complete English sentence using the following summary statistics as supporting evidence, describe the distribution of the county-level poverty rate. Don’t forget to include the units.
Mean: 15.5%, range:0-53.5%, median:14.7%, sd:6.7%
(a) using the data from table, calculate the sample proportion: p-hat=xt/nt of the tratment group who had a stroke and the sample proportion p-hatc=xc/nc for the control group
(b) does the use of stents resuce the risk of stroke? justify your answer in a full complete enlish statement using the proportions you calculated as evidence to support your conclusion
0-30 days stroke no event 0-365 days stroke no event treatment 33 control Total 13 46 191 214 405 45 28 73 179 199 378 Table 2.4: Descriptive statistics for the stent study.Explanation / Answer
1) The variable country level poverty rate is measured at ordinal level. The mean country level poverty rate is 15.5% and median country level poverty rate is 14.7%. The mean is greater than median, which implies a right skewed distribution of country level poverty rate. Note, for the variable measured at ordinal level, and for skewed distribution use median as the measure of central tendency. For skewed distribution, range is the suitable measure of dispersion. Country level poverty rate ranges from 0 to 53.5%, with an average rate of 14.7%.
2) For 0-30 days treatment group who had a stroke, the sample proportion, phat=xt/nt=33/(33+191)=0.15
Similarly, for 0-365 days treatment group, who had a stroke, the sample proportion, phat=xt/nt=45/(45+179)=0.20
Sample proportion for control group (0-30 days), who had a stroke is phatc=xc/nc=13/(13+214)=0.06
Sample proportion for control group (0-365 days), who had a stroke is phatc=xc/nc=28/(28+199)=0.12
For both 0-30 day sand 0-365 days, the sample proportion for treatment groups are higher than sample proportion for control groups [0.15>0.06 and 0.20>0.12] for subjects who had stroke. This indicates use of stents do not necessarily reduce the risk of stroke.
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