Question

a. find the probability of getting exactly 6 girls in 8 births.
.117 (type an integer or a decimal. do not round.)
.142 (type an integer or a decimal. do not round.)
.117 (type an integer or a decimal. do not round.)
.142 (type an integer or a decimal. do not round.)
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)?
the result from part b, since it is the probability of the given or more extreme result.
the result from part a, since it is less than the probability of the given or more extreme result.
the result from part b, since it is the complement of the result of part a.
the result from part a, since it is the exact probability being asked.
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.
no, since the appropriate probability is less than 0.05, it is not a significantly high number.
yes, since the appropriate probability is greater than 0.05, it is a significantly high number.
no, since the appropriate probability is greater than 0.05, it is not a significantly high number.
yes, since the appropriate probability is less than 0.05, it is a significantly high number.

Explanation:

Step1: Find probability for part a

From the table, when \(x = 6\), \(P(x)=0.117\).

Step2: Find probability for part b

To find \(P(x\geq6)\), we sum \(P(6)+P(7)+P(8)\).
\(P(6) = 0.117\), \(P(7)=0.021\), \(P(8) = 0.004\)
\(P(x\geq6)=0.117 + 0.021+0.004=0.142\)

Step3: Determine significance for part d

A value is significantly high if its probability (including more extreme values) is less than \(0.05\).
Since \(P(x\geq6)=0.142>0.05\), it is not a significantly high number.

Answer:

a. \(0.117\)
b. \(0.142\)
d. B. No, since the appropriate probability is greater than \(0.05\), it is not a significantly high number.