Answer:
a) 0.0853
b) 0.0000
Step-by-step explanation:
Parameters given stated that;
H₀ : <em>p = </em>0.6
H₁ : <em>p = </em>0.6, this explains the acceptance region as;
p° ≤ =0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)
a).
the probability of type I error if exactly 60% is calculated as :
∝ = P (Reject H₀ | H₀ is true)
= P (p°>0.63 | p=0.6)
where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below
= P
= P
= P
= P [Z > 1.37]
= 1 - P [Z ≤ 1.37]
= 1 - Ф (1.37)
= 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)
≅ 0.0853
b)
The probability of Type II error β is stated as:
β = P (Accept H₀ | H₁ is true)
= P [p° ≤ 0.63 | p = 0.75]
where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below
= P
= P
= P
= P [Z ≤ -6.20]
= Ф (-6.20)
≅ 0.0000 (from Cumulative Standard Normal Distribution Table).
4/10 = 40% of throws made
40% of 24 = 9.6 which rounds up to 10
1)-11
2)18
3)32
8)-28
9)-40
10)13
Answer:
2⁴ + r
Step-by-step explanation:
Change the sentence into a expression.
Note that r is a variables.
"Raise 2 to the 4th power..." means 2 to the 4th power, or 2⁴.
"...then add r to the result" means: + r
Combine the two terms:
2⁴ + r is your answer.
~
Simplify if need be.
2⁴ = 2 * 2 * 2 * 2 = 4 * 4 = 16
r + 16 is your answer.
~
The slope is 1/2 while the y intercept is 8.
Slope intercept form is y=mx+b, b being the y intercept and m being the slope.
Hope this helps!