The confidence interval for the population proportion, p is (0.766, 0.833)
<h3>Confidence interval</h3>
The formula for calculating the confidence interval for proportion is expressed as:
CI = p±√pq/n
Given the following
p = 112/140 = 0.8
q = 1-p = 0.2
Substitute
CI = 0.8±√(0.8)(0.2)/140
CI = 0.8±0.0338
CI = (0.766, 0.833)
Hence the confidence interval for the population proportion, p is (0.766, 0.833)
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The expected number of adults that believe ufos are watching earth is 4
<h3>How to determine the number of adults?</h3>
The given parameters are:
p = 48%
Sample size, n = 8
The expected number of adults that believe ufos are watching earth is calculated as:
E(x) = np
This gives
E(x) = 8 * 48%
Evaluate
E(x) = 3.84
Approximate
E(x) = 4
Hence, the expected number of adults that believe ufos are watching earth is 4
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For question 9, your answer would be -7
-56 = 8x
then swap the equation
8x = -56
8 x 7 = 56
so your answer would be -7 because the -56 is bigger.
The board A is 8 inches. If you use 3/4 of an 8-foot-board. Then you're left with 2 feet.
3 6
-- = --
4 8
8 - 6 =2
(8= the length of the board)
1/3 of 2 feet = 8 inches
1 24 24
-- x -- = --- = 8 inches
3 1 3
(24= the equal amount of inches in a 2-foot-board)