1. 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.

Identify the population.

a). all individuals who take the medication.

b). more than 5% of those who take the drug actually get headaches.

c). the proportion of those who take the drug who get a headache.

d). 5% of those who take the drug actually get headaches.

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

a). 5% of those who take the drug actually get headaches.

b). more than 5% of those who take the drug actually get headaches.

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

d). the proportion of those who take the drug who get a headache.

Is it categorical or quantitative?

• Quantitative
• Categorical

Identify the parameter(s).

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

b). all individuals who take the medication.

c). the mean of those who take the drug who get a headache.

d). the proportion of those who take the drug who get a headache.

What is the claim?

a). The population mean is greater than 5%.

b). The population proportion is greater than 5%.

c). The population proportion is less than 5%.

d). The population proportion is different than 5%.

Which hypotheses do we want to test?

a). H₀:p= 0.05 H₀:p 0.05

b).H₀:p= 0.05 H₀:p> 0.05

c).H₀:p= 0.05 H₀:p< 0.05

d).H₀:p 0.05 H₀:p= 0.05

2.Nearsighted:It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate?

.Ho: p = .08 Ha: p .08

.Ho: p = .08 Ha: p < .08

. Ho: p = .08 Ha: p > .08

(b) What proportion of children in this sample are nearsighted?

__________________(round to four decimal places)

(c) Find the test statistic. Z = ______________ (please round to two decimal places)

(d) What is the p-value for this hypothesis test? p = ______________ (please round to four decimal places)

(e) What is the conclusion of the hypothesis test? Use=0.1.

• Since p we do not have enough evidence to reject the null hypothesis
• Since p we reject the null hypothesis and accept the alternative
• Since p< we fail to reject the null hypothesis
• Since p we accept the null hypothesis
• Since p< we reject the null hypothesis and accept the alternative

3. Test the claim that the proportion of people who own cats is larger than 60% at the 0.005 significance level.

The null and alternative hypotheses would be:

H0:=0.6H0:=0.6 HA:<0.6HA:<0.6

H0:p=0.6H0:p=0.6 HA:p<0.6HA:p<0.6

H0:p=0.6H0:p=0.6 HA:p>0.6HA:p>0.6

H0:=0.6H0:=0.6 HA:0.6HA:0.6

H0:=0.6H0:=0.6 HA:>0.6HA:>0.6

H0:p=0.6H0:p=0.6 HA:p0.6HA:p0.6

The test is:

left-tailed

right tailed

two-tailed Based on a sample of 100 people, 64 owned cats

The test statistic is: ____________ (to 2 decimals)

The p-value is: ______________ (to 4 decimals)

4. In a recent Super Bowl, a TV network predicted that 99 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group randomly sampled 141 people who saw the commercials and found that 135 of them said they would watch one of the television shows. Suppose you are have the following null and alternative hypotheses for a test you are running: H0:p=0.99H0:p=0.99 Ha:p<0.99Ha:p<0.99 Check the conditions for a Hypothesis Z-test for one sample proportion.

Is the sample independent? Check withn0.05N

____________0.05N

Meaning that the population size has to be greater than what?Round to the nearest whole number. N _____________

Note: The population is all people watching the Super Bowl.

Is the sample large enough for the sampling distribution ofp^to be approximately normal?Do not round your answers.

np0=________________

n(1p0) =______________

What is the conclusion about the shape of the sampling distribution ofp^?

• Approximately Normal becausenp0<10andn(p0) <10.
• Approximately Normal regardless of sample size.
• Unknown shape because not enough information is given in the problem.
• Approximately Normal becausenp010andn(1-p0) 10.
• Not approximately Normal becausenp0<10orn(1-p0) <10.
• Approximately Normal because the sample sizen30.