A political poll reports a candidate has a 67% unfavorable rating with a 4% margin of error. Find an interval estimate for the candidate

Respuesta :

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%