How can you write and solve an addition or subtraction equation?
1 answer:
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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
In step 2, V = show the error in volume work.
Solution:
Given data:
The steps shows it is sphere.
Radius of the sphere = 12.5
The value of π = 3.14
Volume of the sphere =
Step 1:
Step 2:
Step 3:
Step 4:
V = 8177.08 cubic units
This is the correct solution.
But in the given options, in step 2, 12.5 is multiplied by 3.
That is not the correct step. You have to do 12.5 × 12.5 × 12.5.
Hence in step 2, V = show the error in volume work.