Question

the accompanying table describes results from groups of 8 births from 8 different sets of parents. the random variable x represents the number of girls among 8 children. complete parts (a) through (d) below.

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a. find the probability of getting exactly 6 girls in 8 births.
0.102 (type an integer or a decimal. do not round.)

b. find the probability of getting 6 or more girls in 8 births.
0.126 (type an integer or a decimal. do not round.)

c. which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)?
a. the result from part a, since it less than the probability of the given or more extreme result.
b. the result from part b, since it is the complement of the result of part a.
c. the result from part a, since it is the exact probability being asked.
d. the result from part b, since it is the probability of the given or more extreme result.

d. is 6 a significantly high number of girls in 8 births? why or why not? use 0.05 as the threshold for a significant event.
a. no, since the appropriate probability is less than 0.05, it is not a significantly high number.
b. no, since the appropriate probability is greater than 0.05, it is not a significantly high number.
c. yes, since the appropriate probability is less than 0.05, it is a significantly high number.
d. yes, since the appropriate probability is greater than 0.05, it is a significantly high number.

Explanation:

Step1: Recall significance rule

To determine if an event is significant, we compare the probability of the event or more extreme events to the threshold 0.05.

Step2: Analyze part - c

For determining if a number is significantly high, we consider the probability of getting that number or more. In this case, the probability of getting 6 or more girls (from part b) is relevant as it represents the probability of the given or more extreme result.

Step3: Analyze part - d

The probability of getting 6 or more girls in 8 births is 0.126. Since 0.126> 0.05, 6 is not a significantly high number of girls in 8 births.

Answer:

c. D. The result from part b, since it is the probability of the given or more extreme result.
d. A. No, since the appropriate probability is greater than 0.05, it is not a significantly high number.