A quality control manager believes that there are too many defective light bulbs

Question

A quality control manager believes that there are too many defective light bulbs being produced, higher than the advertised rate. The manager's null hypothesis is that the production line of light bulbs has a defect rate of p = 0.025 (the light bulb's stated defect rate). He does a hypothesis test with a significance level of 0.05. Symbolically, the null and alternative hypothesis are as follows: H_0: p = 0.025 and H_a:p > 0.025. 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 defect rate we believe is the true defect rate. b. The significance level of 0.05 is the probability of concluding that the defect rate is higher than 0.025 when in fact the defect rate is equal to 0.025. c. The significance level of 0.05 is the probability of concluding that the defect rate is equal to 0.025 when in fact it is greater than 0.025. d. The significance level of 0.05 Is the test statistic that we will use to compare the observed outcome to the null hypothesis.

Explanation / Answer

The significance level, also denoted as alpha or , is the probability of rejecting the null hypothesis when it is true.

Option b. is correct

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.