QUESTION IMAGE
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.
click the icon to view the table.
b. find the probability of getting 6 or more girls in 8 births.
0.134 (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 is the exact probability being asked
b. the result from part b; since it is the probability of the given or more extreme result
c. the result from part a, since it less than the probability of the given or more extreme result
d. the result from part b, since it is the complement of the result of part a.
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 greater than 0.05, it is not a significantly high number
b. yes, since the appropriate probability is less than 0.05, it is a significantly high number
c. yes, since the appropriate probability is greater than 0.05, it is a significantly high number
d. no, since the appropriate probability is less than 0.05, it is not a significantly high number
Step1: Identify relevant probability
To determine if a number is significantly high, we use the probability of getting that number or more extreme results. So for determining if 6 is a significantly high number of girls in 8 births, the probability from part (b) (probability of getting 6 or more girls in 8 births) is relevant.
Step2: Check significance
The probability from part (b) is 0.134. Since 0.134 > 0.05 (the threshold for a significant event), 6 is not a significantly high number of girls in 8 births.
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c. B. 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