Answer:
a
[tex]\^p = 0.57[/tex]
b
[tex]0.539 <p< 0.601[/tex]
c
The correct option is C
Step-by-step explanation:
The percentage of women who would like to stay at home and take care of their family due to the fact that they have a child younger than 18 is [tex]p_1 = 57\%[/tex]
The percentage of women who would rather work outside their home due to the fact that they don't have children is [tex]p_2 = 58\%[/tex]
The margin of error is [tex]E = 0.031[/tex]
Gnerally the point estimate of all US women with a child under 18 that would like to stay at home is mathematically represented as
[tex]\^ p = \frac{57}{100}[/tex]
[tex]\^ p = 0.57[/tex]
Gnerally the interval estimate for the proportion of all US women with a child under 18 that would like to stay at home is mathematically as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.57 -0.031 <p< 0.57 + 0.031[/tex]
=> [tex]0.539 <p< 0.601[/tex]