In: Statistics and Probability
Have you had anything for breakfast
today?
Select a population from which you will sample to...
Have you had anything for breakfast
today?
- 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.
- 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
- Ask a sample of at least 40 people the question and record
their responses.
Yes: 18
No: 22
- 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.
- Comment on the significance of your conclusion as it relates to
the question you asked.
- Construct a 95% confidence interval for the proportion of “yes”
responses.
- Comment on the meaning of the interval you found.