Mr. B asserts that fewer than 5% of the battery that he sells are defectives. Suppose 200 battery are randomly selected, each are tested and 8 defective batteries are found. Does this provide sufficient evidence for Mr. B to conclude that the fraction of defective batteries is less than 0.05? Use α=0.01 and the p-value approach. a. The null hypothesis is p=0.05 p<0.05 p>0.05 p≤0.05 b. The alternative hypothesis is p=0.05 p≤0.05 p>0.05 p<0.05 c. The sample proportion is 0.05 0.01 0.04 0.02 d. The value of the test statistic is 0.65 -0.65 0.55 -0.55 e. The p-value is 0.2578 0.2422 0.7422 none of these f. The Decision is Reject the null hypothesis. There is a significant difference between the sample mean and the population mean. Reject the null hypothesis. There is no significant difference between the sample mean and the population mean. Accept the null hypothesis.There is a significant difference between the sample mean and the population mean. Accept the null hypothesis.There is no significant difference between the sample mean and the population mean. g. The kind of test is one-tailed two tailed h. The test statistic to be used is f t z none of these
Mr. B asserts that fewer than 5% of the battery that he sells are defectives. Suppose 200 battery are randomly selected, each are tested and 8 defective batteries are found. Does this provide sufficient evidence for Mr. B to conclude that the fraction of defective batteries is less than 0.05? Use α=0.01 and the p-value approach.
a. The null hypothesis is
p=0.05
p<0.05
p>0.05
p≤0.05
b. The alternative hypothesis is
p=0.05
p≤0.05
p>0.05
p<0.05
c. The sample proportion is
0.05
0.01
0.04
0.02
d. The value of the test statistic is
0.65
-0.65
0.55
-0.55
e. The p-value is
0.2578
0.2422
0.7422
none of these
f. The Decision is
Reject the null hypothesis. There is a significant difference between the sample
Reject the null hypothesis. There is no significant difference between the sample mean and the population mean.
Accept the null hypothesis.There is a significant difference between the sample mean and the population mean.
Accept the null hypothesis.There is no significant difference between the sample mean and the population mean.
g. The kind of test is
one-tailed
two tailed
h. The test statistic to be used is
f
t
z
none of these
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