Question

Have you had anything for breakfast today?

1. Select a population from which you will sample to perform a hypothesis test related to your question. Describe the members of this population.

I will ask 40 people as they are walking onto campus on a normal Thursday at 11am if they had anything for breakfast that day.

2. Make a hypothesis about the proportion of yes responses that you expect to find. I suggest that you make the hypothesis that the proportion is less than 50%, or that the proportion is greater than 50%. Do not hypothesize that the proportion will equal a certain value. You are setting yourself up to not accept your hypothesis if you do.

I believe that at less than 50% will say that they had breakfast.

H₀: p=0.5

H₁: p<0.5

3. Ask a sample of at least 40 people the question and record their responses.

Yes: 18

No: 22

4. Perform a hypothesis test to determine if p is significantly higher or lower than 50%. You may let α = 0.05. Be sure to state the p-value for your test.
5. Comment on the significance of your conclusion as it relates to the question you asked.
6. Construct a 95% confidence interval for the proportion of “yes” responses.
7. Comment on the meaning of the interval you found.

Answer 1

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The confidence interval is