A 99% Confidence Interval for the percent of all adults nation-wide in favor of the death penalty is (Hint: Fill in the first blank with the sample % and the second with the margin of error.) 71 % /- 4.29 %

of

A Gallup Poll Asked A Random Sample Of 1000 Adults Nationwide The Following Question "Are You In Favor Of The Death Penalty For A Person Convicted Of Murder?" 71% Of The People In The Sample Answered 'Yes' A 99% Confidence Interval

The answer is

At 99% confidence interval, and 71 % of 1000 or 710 success count

The critical z =+/-2.575829

Interval {Min = 0.6730389

Max = 0.7469611}

or Interval {Min = 67.304 %

Max = 74.696 %}

Step-by-step explanation:

Here we utilise the normal distribution to calculate the confidence interval for the data founded on the sample size n and the number of positive pole

= p + z×(p(1-p)/n)

For 99 % z = + or - 2.576

Which give

0.71+ or - 2.576×((0.71×0.29)/1000)^0.5=

0.71+ or -3.69×10^(-2)

Min = 0.67303

Max = 0.74696

Min = 67.304 %

Max = 74.696 %

Which gives expected range in the real population that the statistical result will be found

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°