In Reno, an SRS of n=57 finds 17 smokers. The national average for smoking prevalence is 0.25. Is the proportion in the sample significantly different than the national average at 95% confidence level?
a. Justify whey we can use z-test.
b. State the null and alternative hypothesis statements.
c. Calculate a z statistic
d. Report p-value.
e. Can you reject the null hypothesis at the given level?
f. Interpret the result.
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