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:
608,000
Step-by-step explanation:
another sequence is 19/480
Answer:
9 more shots
Step-by-step explanation:
If the first golfer had a score of +6 and the second golfer had a score of -3, in order to know how many more shots the first golfer take, we will take the difference between both goals as shown;
= 6-(-3)
= 6+3
= 9
Hence the first golfer took 9 more shots than the second.
Answer:
36 more students of grade 7 went on a trip than students of grade 6
Step-by-step explanation:
60 % of 110 students= 60/100*110= 66 students
85 % of 120 students= 85/100 * 120= 102 students
No of students of grade 7th more than 6th grade students= 102-66= 36