In a March 2018 national poll based on a representative sample of 2,737 adult Americans, 64% reported
Question:
In a March 2018 national poll based on a representative sample of 2,737 adult Americans, 64% reported drinking at least one cup of coffee per day. Now suppose that we test the null hypothesis π = 0.50 vs. the alternative hypothesis π ≠ 0.50.
a. Describe (in words) what the symbol π represents here.
b. Use the One Proportion applet to determine the (approximate) two-sided p-value.
c. Based on the two-sided p-value you reported in part (b), does 0.50 appear to be a plausible value for π? Explain your reasoning.
d. How would this two-sided p-value compare to a one-sided p-value: larger, smaller, or the same?
e. Use the One Proportion applet for a single proportion, repeatedly testing other possible values for π, to determine plausible values and construct a 95% confidence interval for π.
f. Interpret the 95% confidence interval you reported in part (e).
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