Zool X
1 answer:
You might be interested in
The equation of the circle shown is:
The equation of a circle of center and radius r is given by:
From the graph, it can be seen that the center of the circle is (0,0), thus and the radius is of r = 10, hence the equation is:
You can learn more about the equation of a circle at brainly.com/question/24307696
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%.