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:
B) 42 units squared
Step-by-step explanation:
12 * 7 = 84
84 / 2 = 42
<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>
<em><u>-XxDeathshotxX</u></em>
Answer:
1. -x²-15x-1
2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32
Step-by-step explanation:
-20x^2+5x+17 - (-19x^2+20x+18)
-20x² + 19x² + 5x - 20x + 17 - 18
-x² - 15x - 1
-20x^7+10x^6-5x+15 - (13x^7+14x^5-4x^4-11x^2-17)
-20x⁷ - 13x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 15 + 17
-33x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 32
If you add the standard deviation to the average, it is 14.84. Because Marcus's score was lower than that, he will not receive a certificate.
I think this should be right for the reason and the calculation.
