Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1902 people and found that 579 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? c) Identify the appropriate significance level.
Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1902 people and found that 579 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.
a) Identify the null and alternative hypotheses?
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
c) Identify the appropriate significance level.
d) Calculate your test statistic (Use ˆpp^ rounded to 4 decimal places). Write the result below, and round your test statistic to 4 decimal places.
e) Calculate your p-value. Write the result below, rounded to four decimal places.
f) Do you reject the null hypothesis?
- We reject the null hypothesis, since the p-value is less than the significance level.
- We reject the null hypothesis, since the p-value is not less than the significance level.
- We fail to reject the null hypothesis, since the p-value is less than the significance level.
- We fail to reject the null hypothesis, since the p-value is not less than the significance level.
- g) Select the statement below that best represents the conclusion that can be made.
- There is sufficient evidence to warrant rejection of the claim that the percentage of smokers is less than 33%.
- There is not sufficient evidence to warrant rejection of the claim that the percentage of smokers is less than 33%.
- The sample data support the claim that the percentage of smokers is less than 33%.
- There is not sufficient sample evidence to support the claim that the percentage of smokers is less than 33%
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