Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
2b
On the left side, use the measure of each angle.
On the right side, use 180 because the the sum of the measures of the angles of any triangle is always 180.
90 + 45 + <X = 180
135 + <X = 180
<X = 180 - 135
<X = 45
2c
90 + 56 + <H = 180
146 + <H = 180
<H = 180 - 146
<H = 34
3
A right triangle has 1 right angle measuring 90 degrees and two acute angles.
The sum of the measures of the three angles of a triangle is 180.
If you subtract 90 degrees (the right angle's measure) from the total of 180 degrees, 180 - 90 = 90, you get 90 degrees. That means that the sum of the measures of the two acute angles of a right triangle is always 90 degrees.
Answer:
2394 cubic centimeters
Step-by-step explanation:
If all of the dimensions of the shipping box are 1.3 times that of the gift, then the volume of the box is 1.3^3=2.197 times that of the gift. Dividing this by the volume of the box, you get a volume of 2000 cubic centimeters for the volume of the gift. Subtracting this from the volume of the box, you get 2394 cubic centimeters of unused space. Hope this helps!