Question

This exercise is based on a report of a Field Poll. The results were reported with a graphical display containing the information that "results are based on a statewide survey of 800 adults conducted June 9-18. The sample includes 673 voters considered likely to vote in the Nov. 7 general election. The margin of error is 3.5 percentage points."

(a) Compute the conservative margin of error for this poll based on those likely to vote, and compare it to the precise margin of error presented. (Round your answer to two decimal places.)
__%

(b) For this sample, 58% reported that they approve of Dianne Feinstein's job performance. What is an approximate 95% confidence interval for the percent of all adults in the state who approve of her performance? (Use the margin of error given in the report. Round your answers to one decimal place.)
Between __% and __%.

Answer 1

Given,

n = 800, out of which n1 = 673 voters thought about prone to cast a ballot in the general race

(a)

The preservationist wiggle room for the survey dependent on those prone to cast a ballot is given beneath:

Preservationist Margin of Error =1/ V673

= 1/25.94  (I)

= 0.039

E = 0.04

Given, the exact safety buffer = 3.5 rate focuses ... (II)  

Here the conservative margin of error is greater than the given precise margin of error

(b)

Given

The example gauge of voters who endorse of Dianne Feinstein's activity execution (SE) = 57%

The exact wiggle room (ME) = 3.5%

The 95% certainty interim for the percent of all grown-ups in the state who favor of Dianne Feinstein's execution is given underneath:

(SE ME), (SE+ME))

= ((58% - 3.5%), (58% + 3.5%))

= (54.5% , 61.5%)

The 95% certainty interim for the percent of all grown-ups in the state who support of Dianne Feinstein's execution = (54.5%, 61.5%) i.e.,

With 95% certainty we can induce that the percent of all grown-ups in the state who support of Dianne Feinstein's execution are somewhere close to 54.5% and 61.5%