(1 point) Heart transplant operations In September 2000, ten consecutive heart t
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(1 point) Heart transplant operations In September 2000, ten consecutive heart transplant operations at St. George's hospital resulted in eight deaths within 30 days of the operation. Concerns arose and heart transplants were suspended at this hospital. To explore this problem more deeply, researchers went on to look at data from the most recent 361 heart transplants at St. George's, and found that 71 had resulted in deaths within 30 days of the heart transplant procedure. Using the sample of size 361, the One Proportion applet was used to produce the following null distribution of sample proportion of deaths assuming the long-run proportion of death is 0.15: mean = 0.15 SD 0.019 008 0.10 0.12 0.13 0.15 0.17 0.18 0 20 022 0.23 Proportion of successes a. According to the dotplot produced by the applet, what is the mean of the null distribution? ·Mean of the null distribution = to two decimal places b. Explain how you could have anticipated that the mean of the null distribution would be what is shown in the applet. O A. The center of the null distribution is always 0 since it is the null distribution o B. The center of the null distribution is always very near the observed value of the sample statistic p, which is p = 0.8 in this case o C. The center of the null distribution is always 0.5 o D. The center of the null distribution is always very near the hypothesized value of the population proportion , which is = 0.15 in this case c. According to the dotplot produced by the applet, what is the standard deviation of the null distribution? · SD of the null distribution = to three decimal places. d. Explain how you could have anticipated that the standard deviation of the null distribution would be what is shown in the applet. o A. The standard deviation of the null distribution is something that you can only get from the applet. (1-) 10.15(1-0.15) 361 B. The standard error, which is an estimate of the standard deviation of the null distribution, is SE = o C. Sometimes when you guess, you get lucky. e. According to the dotplot produced by the applet, is the overall shape of the null distribution bell-shaped? That is, can the null distribution be described as being a normal distribution? Explain how you could have anticipated this o A. The null distribution is not bell-shaped because the sample statistic p = 0.8 is much closer to 0 or to 1 than it is to 0.5 o B. The null distribution is bell-shaped because the null distribution is always bell-shaped C. The null distribution is not bell-shaped because the hypothesized value of the long-run proportion = 0.15 is much closer to 0 or to 1 than it is to 0.5. o D. The null distribution is bell-shaped because the validity conditions (at least 10 successes and 10 failures) are met for the sample of size 361 f. Explain why the normal approximation works better in the context of the null distribution for the sample of size 361 compared to the null distribution for the sample of size 10 O A. The normal approximation (i.e., the bell-shaped curve) works better for the larger sample because there are more dots in the dotplot for the sample of size 361 than for the sample of size 10 O B. The normal approximation (i.e., the bell-shaped curve) works better for the larger sample because it always works better for large sample sizes o C. The normal approximation (i.e., the bell-shaped curve) works better for the larger sample because the validity conditions (at least 10 successes and 10 failures) are met for the sample of size 361 but not for the sample of size 10Explanation / Answer
A) mean= 0.15
B) d) the centr of null distribution.....
C) as the graph is like of a standard normal, the standard deviation is very close to 0
D) b) the standard error......
E) c) the null distribution is not....
F) a) the normal approximation works better.....
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