Question: When testing a method of gender selection prior to childbirth, we assume that the rate of female births is 50%, and we reject that assumption
When testing a method of gender selection prior to childbirth, we assume that the rate of female births is 50%, and we reject that assumption if we get results that are unusual in the sense that they are very unlikely to occur with a normal 50% birth rate. In a preliminary test of the XSORT method of gender selection during in-vitro fertilization, 15 births resulted in 14 girls.
- a. Assuming a 50% rate of female births, find the probability that in 15 births, the number of girls is 14.
- b. Assuming a 50% rate of female births, find the probability that in 15 births, the number of girls is 15.
- c. Assuming a 50% rate of female births, find the probability that in 15 births, the number of girls is 13 or fewer.
- d.Assuming a 50% rate of female births, find the expected number (i.e. mean) of girls in 15 births.
- e. Assuming a 50% rate of female births, find the standard deviation of the number of girls in 15 births.
- f. Using the range rule of thumb, find the minimum usual value and maximum usual value for the number of girls in 15 births.
- g. Do these preliminary results suggest that the XSORT method is effective in increasing the likelihood of a baby being a girl? Why or why not?
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