At an early stage of clinical trials of a certain method of gender​ selection, 8 couples using that method gave birth to 7 boys and 1 girl. Complete parts​ (a) through​ (e) below. a. Assuming that the method has no effect and boys and girls are equally​ likely, use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high​ (for the number of boys in 8 births). Based on the​ results, is the result of 7 boys significantly high​? Significantly low values for the number of girls in 8 births are ___and lower. Significantly high values for the number of girls in 8 births are ___ and higher. The result of 7 girls ____ Significantly high. (round to one decimal place as needed) b. Find the probability of exactly 7 boys in 8 ​births, assuming that the method has no effect. (round to six decimal places as needed) c. Find the probability of 7 Or More boys In 8 ​births, assuming that the method has no effect. (round to six decimal places as needed) d. Which probability is relevant for determining whether 7 boys is significantly high ​: the probability from part​ (b) or part​ (c)? Based on the relevant​ probability, is the result of 7 boys significantly high​? e. What do the results suggest about the effectiveness of this method of gender​ selection?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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At an early stage of clinical trials of a certain method of gender​ selection, 8 couples using that method gave birth to 7 boys and 1 girl. Complete parts​ (a) through​ (e) below.

a. Assuming that the method has no effect and boys and girls are equally​ likely, use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high​ (for the number of boys in 8 births). Based on the​ results, is the result of 7 boys significantly high​?

Significantly low values for the number of girls in 8 births are ___and lower. Significantly high values for the number of girls in 8 births are ___ and higher. The result of 7 girls ____ Significantly high. (round to one decimal place as needed)

b. Find the probability of exactly 7 boys in 8 ​births, assuming that the method has no effect. (round to six decimal places as needed)

c. Find the probability of 7 Or More boys In 8 ​births, assuming that the method has no effect. (round to six decimal places as needed)

d. Which probability is relevant for determining whether 7 boys is significantly high ​: the probability from part​ (b) or part​ (c)? Based on the relevant​ probability, is the result of 7 boys significantly high​?

e. What do the results suggest about the effectiveness of this method of gender​ selection?

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