Answer:
a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted
b. Type I error
Step-by-step explanation:
Proportion of California residents who reported insufficient rest = 8.0%
Proportion of Oregon residents who reported insufficient rest = 8.8%
p'₁ = 0.08 * 11545 =923.6
p'₂ = 0.088 * 4691=412.81
σ₁ =
=
= 29.15
σ₂ =
=
= 19.40
Samples size of California residents n₁ = 11,545
Samples size of Oregon residents n₂ = 4,691
Hypothesis can be constructed thus
Let our null hypothesis be H ₀: p'₁ = p'₂
and alternative hypothesis H ₐ: p'₁ ≠ p'₂
Then we have

The test statistics can be computed by
t₀ =
= 1104.83
c from tables is P(T ≤ c) = 1 - α where α = 5% and c = 1.65
since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected
b. Type I error, rejecting a true hypothesis
8 different styles
4x2=8
If you want to answer future questions like this then you multiply the numbers of the items.
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15