Apolitical interest group wants to determine what fraction p ∈ (0, 1) of the population intends to vote for candidate a in the next election. 1000 randomly chosen individuals are polled. 457 of these indicate that they intend to vote for candidate a. find the 95% confidence interval for the true fraction p.

95% confidence interval for the true fraction p is (0.426, 0.488)

Step-by-step explanation:

Confidence Interval can be calculated using p±ME where

and margin of error (ME) around the mean can be found using the formula

ME= where

then ME= ≈ 0.031

Then 95% confidence interval would be 0.457±0.031 or (0.426, 0.488)

300pi

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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