The solution would be like this for this specific problem:
H0: p = p0, or <span>
H0: p ≥ p0, or
H0: p ≤ p0 </span>
find the test statistic z
= (pHat - p0) / sqrt(p0 * (1-p0) / n)
where pHat = X / n
The p-value of the test is
the area under the normal curve that is in agreement with the alternate
hypothesis. <span>
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z </span>
Hypothesis equation:
H0: p ≥ 0.67 vs. H1: p
< 0.67
The test statistic is: <span>
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681 </span>
The p-value = P( Z < z
) <span>
= P( Z < -1.538681 )
<span>= 0.0619</span></span>
Answer:
-8x + 146
Step-by-step explanation:
Step 1: Write out expression
3(58 - 6) - 2(4x + 5)
Step 2: Parenthesis
3(52) - 2(4x + 5)
Step 3: Multiply
156 - 2(4x + 5)
Step 4: Distribute
156 - 8x - 10
Step 5: Combine like terms (constants)
-8x + 146
Answer:
12
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
the arc length is calculated as
arc = circumference (C) × fraction of circle , then
16 = C ×
= C ×
( multiply both sides by 8 )
128 = C
circumference of circle is 128 cm