It is recommended that adults get 8 hours of sleep each night. A researcher hypo

Question

It is recommended that adults get 8 hours of sleep each night. A researcher hypothesized college students got lees than the recommended number of hours of sleep each right, on average. After randomly sampling a number of college students, the researcher calculated a sample mean of 7.95 hours and obtained a p-value of 0.0001 from a one-sample 1-test Why is the p-vslue so small when the difference between the sampla mean and the hypcthesized value of the populstion mean is only 0.05 hours (3 minutes)? Chocse the correct ansiwer below. 0 A. O B. ° C. D. A Not enough oolege students were sampled. The sample standard deviation was very large. The sample size was very large. small diference between the sample mean and the hypothesized value of the population meen generally leads to a small p-value.

Explanation / Answer

Actually the researcher hypothesized that the students got less number of hours to sleep than the recomended. But the sample average was 7.95 very close to 8 the hypothesized hour. This would surely mean that the sample supports the conjecture that the students indeed got sleep at par with the hypothesized value. This would lead to rejection of hypothesis that they did not get the sleep around 8 hours.

Hence the last option is correct. Small difference between the sample mean and hypothesied value of the population meab generally leads to a small p-value.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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