Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject 
, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis:
This means that 
28 out of 600 items produced by the machine were found defective.
This means that 
Value of the test-statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Answer:
23,200
Step-by-step explanation:
percentage of vote in favor of Azeem = 42
Since total percentage is 100
and Hamza got remaining percentage points
it can be calculated by subtracting Azeem's percentage of vote from total percentage
mathematically we have
percentage of vote in favor of Hamza = total percentage of vote - percentage of vote in favor of Azeem = 100 - 42 = 58
Therefore Hamza got 58% votes
Total no of votes cast as given in problem = 40,000
Vote for Hamza = 58% of total votes = 58% of 40000
=>Vote for Hamza = (58/100) * 40000 = 23,200.
Votes obtained by hamza is 23,200
The formula for multiplying exponents are such below.
(b^m)^n = b^mn
b^m/b^n=b^(m-n)
b^m x b^n=b^(m+n)
If the machine can pack 50 boxes a minute, that would mean you have to multiply 50 x 25 which gives you your answer of 1,250
Answer:
14th term
Step-by-step explanation:
