Answer:
A. H0: p = 0.67; H1: p < 0.67
A. The standard normal, since np > 5 and nq > 5.;
Test statistic = - 0.397 ;
Pvalue = 0.3457;
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Step-by-step explanation:
p = 0.67 ; q = 1 - p = 1 - 0.67
Sample size, n = 36
x = 23
Test for normality :
(36*0.67) = 24.12
(36 * (1-0.67)) = 11.88
For a normal distribution :
np ≥ 5 and n(1 - p) ≥ 5
The hypothesis :
H0 : p = 0.67
H1 : p < 0.67
The Test statistic :
Z = (phat - p) / √[(p(1 -p))/n]
Phat = x / n = 23 / 36
Z = ((24/36) - 0.67)) / √[(0.67(1 -0.67))/36]
Z = - 0.031 / 0.0783687
Z = - 0.396983
Z = - 0.397
Usong the Pvalue from Z calculator ;
Pvalue of Z = 0.3457
If Pvalue < α ; Reject H0 ; If otherwise, Fail to reject H0
There are 2 sides that are 2 x 1 = 2 ft^2 each
2 sides are 1 x 8 = 8 ft^2 each
And 2 sides 2 x 8 = 16 ft^2 each
Total surface area = 2 + 2 +8+ 8 +16 + 16 = 52 ft^2
Step-by-step explanation:
-1/ 4 , -2/4 , 0.20 , 0.90 ,3/4 ,1.50 - 0.50 ,7/4
because if you changed them whole to decimal it shows the result
-1/4 = - 0.25
-2 / 4 = - 0.5
3 / 4 = 0.75
1.50 - 0.50 = 1
7/4= 1.75
0.20 and 0.90 are already decimal numbers
Let x = the first number
x+1 = the second number
The sum of our two numbers is therefore: x + (x+1)
When you subtract 13 from the above you get 18 left over.
So our equation is:
x + (x+1) - 13 = 18
Now we can just solve for x:
x + (x+1) = 31
2x + 1 = 31
2x = 30
x = 15
So our first number is 15 and our second number must be 16.
Answer:
69 3/4
Step-by-step explanation:
The stock market goes down to 50 3/4 at the beginning of the day
At the end of the day it goes up to 120 1/2
Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows
= 120 1/2 - 50 3/4
= 241/2 - 203/4
= 279/4
= 69 3/4
Hence the total change in the stock market from the beginning to the end of the day is
69 3/4