Answer
It would be unusual to observe 84 people who have a great deal of trust and confidence in the federal government when it comes to handling domestic issues. This is because 84 is more than 2 standard deviations below the mean.
Work Step by Step
p = 0.11, n = 1100,
i) mean
np
= 0.11 x 1100
= 121
ii) standard deviation
$\sqrt{np(1-p)}$
= $\sqrt{1100 \times 0.11 \times (1-0.11)}$
= 10.37737925
$\approx$ 10.377
iii) Determine whether 84 is an unusual observation
μ−2σ = 121 - 2(10.377) = 100.246
μ+2σ = 121 + 2(10.377) = 141.754
Since 84 is less than 100.246, it is a value that it is more than 2 standard deviations below the mean. Thus, 84 is an unusual value.
