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Making an Inference about a population proportion: 1-Proportion Confidence Interval
Report your sample data below. For this confidence interval, use 75% confidence.
a) First, describe what it is that you are trying to estimate. (What population proportion are you interested in? Describe it in this context.)
b) Gather your sample. Report your values below.
Number of "yes":
Total number of attempts:
Sample proportion:
c) describe why the binomial distribution applies in this context. (Verify the four conditions for binomial.) Also, describe why the normal approximation applies.
d) Calculate the "standard error". (Remember to use your sample proportion in the calculation. That is what makes it a standard error.)
:
e) Report the "critical value" that represents 75% confidence.
e) Create a 75% confidence interval for the population proportion p.
( , )
Write a conclusion in context. It should start with "I am 75% confident that..." and include language indicating an inference about the population proportion.