A janitor at a large office building believes that his supply of light bulbs has a defect rate that is higher than
the defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a manufacturer's defect rate of p = 0.09. He performs a test at a significance level of 0.05. The null and alternative hypothesis are as follows: H0 : p = 0.09 and Ha : p > 0.09.
Choose the statement that best describes the significance level in the context of the hypothesis test.
a. The significance level of 0.05 is the probability of concluding the defect rate is more than 0.09 when it is equal to 0.09.
b. The significance level of 0.05 is the probability of concluding that the defect rate is equal to 0.09 when in fact it is greater than 0.09.
c. The significance level of 0.05 is the z-statistic that we will use to compare the observed outcome to the null hypothesis.
d. The significance level of 0.05 is the defect rate we believe is the true defect rate.
Please explain which one is the correct answer