Answer:
[tex] \hat p-ME = 0.67-0.04= 0.63[/tex]
[tex] \hat p+ME = 0.67+0.04= 0.71[/tex]
And we can conclude that the etimated unfavorable rating is between 63 and 71%
Step-by-step explanation:
For this case we know that the estimated unfavorable rating is given by:
[tex]\hat p=0.67[/tex]
And the margin of error for this estimate is given by:
[tex]ME= 0.04[/tex]
If we want to find the confidence interval we just need to do the following:
[tex] \hat p-ME = 0.67-0.04= 0.63[/tex]
[tex] \hat p+ME = 0.67+0.04= 0.71[/tex]
And we can conclude that the etimated unfavorable rating is between 63 and 71%