Recall that, to explore more deeply, the researchers went on to look at data from the most recent 361 heart transplantations at St. George€™s and found that 71 had resulted in deaths within 30 days of the heart transplant procedure. Once again, one can use the One Proportion applet to produce the null distribution of sample proportion of deaths assuming the long-run proportion of death is 0.15:

a. According to the dotplot produced by the applet, what is the mean of the null distribution? Explain how you could have anticipated this.
b. According to the dotplot produced by the applet, what is the SD of the null distribution? Explain how you could have anticipated this.
c. According to the dotplot produced by the applet, is the overall shape of the null distribution bell-shaped? Th at is, can the null distribution be described as being a normal distribution?
d. Explain why the normal approximation works better in the context of the null distribution in Exercise 1.5.12 compared to the null distribution in Exercise1.5.11.

Transcribed Image Text:

Mean = 0.15 SD = 0.019 0.08 0.10 0.12 0.13 0.15 0.17 0.18 0.20 0.22 0.23 Proportion of successes