Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
Y=1/3x + 2 as the y intercept is 2 and slope is 1/3
This question is essentially asking you to find the surface area of the box.
The formula for SA on a rectangular prism is: 2(L*W+L*H+W*H)
L=Length W=Width H=Height
Lets input the information we know:
2(20*8+20*30+8*30)
Follow BEDMAS
2(160+600+240)
2(760+240)
2(1000)
2*1000
=2000
The box will need 2000 centimeters squared of material.
Hope this helps!
-Benjamin
Answer:
34
Step-by-step explanation:
Angles 3 and 7 are corresponding angles. When the lines defining the base of the corresponding angles are parallel (as in this case where a is parallel to b), then the angles are equal.
That's the heavy duty definition. It just means that corresponding angles in parallel lines are equal.
So if <3 = 34 degrees, then <7 = 34 degrees.
Answer:
600
Step-by-step explanation:
Since 3/4 of 100 is 75, we have to divide 450 by three.
450 ÷ 3 = 150
150 x 4 = <em><u>600</u></em>
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<em> </em><em><u>Hope this helps :)</u></em>
<em><u>Please mark brainliest ;)</u></em>
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