QTM 100 Lecture Notes - Lecture 10: Confidence Interval, Test Statistic, Null Hypothesis

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Lab 10: inference for categorical data: 88 out of 195, or 45. 1% of patients survived at 500 days in the study, perform a test to determine if survival to 500 days differs significantly from that of the. Europeans (recall that europeans determined that 50% of their patients survived at least 500 days). Specify the seven steps for hypothesis testing: one-sample z-test, true population proportion of patients who have survived at least/more than 500 days, ho: p=0. 5 and ha: p 0. 5, yes conditions are satisfied. The patients in the study were randomly assigned. Furthermore, we can assume that each sample is independent. Lastly, based on the equations (np>10 & n(1-p)>10), the data is normal. 0. 1736: 1. 360625 f, at the = 0. 05 level of significance, you fail to reject the null hypothesis, between 0. 3830507 and 0. 5213957 i) Based on our results, we are 95% confident that the true population proportion of those who survived over 500 days is between 38. 3% and 52. 1%.

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