Activity 4: Which kind of inference? For each of the examples below, decide whet

Question

Activity 4: Which kind of inference? For each of the examples below, decide whether it makes more sense to use a hypothesis test or a confidence interval. Also decide on the parameter of interest. If you want, you can also write the null and altenative hypotheses (as relevant) for practice. 1 Astatistics professor wants to know what proportion of students use their TA's office hour. She takes a random sample of students from al stats classes and ask each student if they have ever wisited their TA's office hour 2. The same statistics professor wants to know if it is worth hiring an undergraduate to lead eroup study sessions. She will only hire one if more than 20% of students would join the study sessions. She asks the same students from question 1 whether they woulcd join, and she hopes to gather enough evidence to justify hiring an undergraduate. 3. A new father is trying to decide which daycare to use for his baby. He decides to ask a random sample of parents from the daycare on campus the following question: How many days this winter was your baby too sick to go to daycare? If he finds evidence that, on average, babies from this daycare spent more than 6 deys sick, he will choose to takehis baby somewhere else, somewhere else 4. A polling company wants to estimate the proportion of voters that support a particular bill that is maving through the US senate.

Explanation / Answer

1. Here Confidence Interval seems more reasonable. The

parameter of interest is proportion of students utilizing TA's

office hours. (Ans).

2. Here hypothesis testing seems more appropriate. The

parameter of interest is proportion of students joining the

study session.

We have to test H0: p = 0.2 against H1: p > 0.2. (Ans).

3. In this case we should go for hypothesis testing.

The parameter of interest is the number of days the babies

spent sick in daycare.

We have to test, H0: u = 6 against H1: u > 6.

Here, u denotes the average number of days babies spent

sick in daycare.

4. Here we should use confidence interval.

The parameter of interest is the proportion of voters

supporting a particular bill. (Ans).

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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