Question

A drug company claims that an allergy medication causes headaches in 5% of those who take it. A
medical researcher believes that more than 5% of those who take the drug actually get headaches.

1. Identify the population(s).
   • all individuals who take the medication.
   • 5% of those who take the drug actually get headaches.
   • the proportion of those who take the drug who get a headache.
   • more than 5% of those who take the drug actually get headaches.
   
   
2. What is the variable being examined for individuals in the population(s)?
   • more than 5% of those who take the drug actually get headaches.
   • whether or not a person who takes the drug gets a headache.
   • the proportion of those who take the drug who get a headache.
   • 5% of those who take the drug actually get headaches.
   
   
   Is it categorical orquantitative?
   • Categorical
   • Quantitative
   
   
3. Identify the parameter(s).
   • all individuals who take the medication.
   • the proportion of those who take the drug who get a headache.
   • whether or not a person who takes the drug gets a headache.
   • the mean of those who take the drug who get a headache.
   
   
4. What is the claim?
   • a population mean
   • comparing two population proportions
   • a population proportion
   • comparing two population means
   
   
5. Which hypotheses do we want to test?
   • H₀: p ≠ 0.05
     H₁: p = 0.05
   • H₀: p = 0.05
     H₁: p ≠ 0.05
   • H₀: p = 0.05
     H₁: p < 0.05
   • H₀: p = 0.05
     H₁: p > 0.05

Answer 1

1)

Identify the population(s).

• all individuals who take the medication.

2)

What is the variable being examined for individuals in the population(s)?

• whether or not a person who takes the drug gets a headache.

3)

Is it categorical orquantitative?
Categorical

4)

Identify the parameter(s).

• the proportion of those who take the drug who get a headache.

5)

What is the claim?

• a population proportion

6)

Which hypotheses do we want to test?

• H₀: p = 0.05
  H₁: p > 0.05