Answer:
Explanation:
The missing representative data include the file named Childoutlook is an excel spreadsheet showing the response to the survey. The missing file is shown in the document attached below.
From the first question in the attached file below:
a) To find the point estimate, we use the formula:
[tex]\hat p = \dfrac{x}{n}[/tex]
where;
x = number of adult that said "yes" = 240
n = total adults = 1000
[tex]\hat p = \dfrac{240}{1000}[/tex]
[tex]\hat p = 0.24[/tex]
b)
To find the margin of error at 95% confidence interval.
The Margin of Error [tex]M.O.E = Z_{critical} \sqrt{\dfrac{\hat p ( 1- \hat p) }{n}}[/tex]
At 95% C.I ; The level of significance [tex]\alpha[/tex] = 1 - 0.95 = 0.05
The critical value at [tex]Z_{\alpha/2} = Z_{0.05/2}= 1.96[/tex]
Then, the margin of error [tex]M.O.E =1.96 \sqrt{\dfrac{0.24( 1- 0.24) }{1000}}[/tex]
[tex]M.O.E = 1.96 \sqrt { \dfrac{0.1824}{1000}}[/tex]
[tex]M.O.E = 1.96 \sqrt {1.824 \times 10^{-4} }[/tex]
M.O.E =/ 1.96 × 0.013506
The Margin of Error M.O.E = 0.0265
c)
To determine the 95% C.I for the adults who thought that today children will be better than their parents.
i.e.
C.I = [tex]\hat p \pm M.O.E[/tex]
C.I = 0.24 ± 0.0265
C.I = (0.24 - 0.0265, 0.24 + 0.0265)
C.I = (0.2135
, 0.2665
)
C.I = ( 0.214, 0.267) to 3 decimal places
