Past studies have indicated that the percentage of smokers was estimated to be about 31%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1650 people and found that 474 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? Но: (2 v H1: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed two-tailed c) Identify the appropriate significance level.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Past studies have indicated that the percentage of smokers was estimated to be about 31%. Given the new
smoking cessation programs that have been implemented, you now believe that the percentage of smokers
has reduced. You randomly surveyed 1650 people and found that 474 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?
Ho: (? ♥
H1: ? v
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
O left-tailed
O right-tailed
O two-tailed
c) Identify the appropriate significance level.
d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two
decimal places.
e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal
places.
f) Do you reject the null hypothesis?
O We reject the null hypothesis, since the p-value is less than the significance level.
O We reject the null hypothesis, since the p-value is not less than the significance level.
O We fail to reject the null hypothesis, since the p-value is less than the significance level.
O 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.
O There is sufficient evidence to warrant rejection of the claim that the percentage of smokers is less
than 31%.
O There is not sufficient evidence to warrant rejection of the claim that the percentage of smokers is
less than 31%.
O The sample data support the claim that the percentage of smokers is less than 31%.
O There is not sufficient sample evidence to support the claim that the percentage of smokers is less
than 31%
Transcribed Image Text:Past studies have indicated that the percentage of smokers was estimated to be about 31%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1650 people and found that 474 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? Ho: (? ♥ H1: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis, since the p-value is not less than the significance level. O We fail to reject the null hypothesis, since the p-value is less than the significance level. O 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. O There is sufficient evidence to warrant rejection of the claim that the percentage of smokers is less than 31%. O There is not sufficient evidence to warrant rejection of the claim that the percentage of smokers is less than 31%. O The sample data support the claim that the percentage of smokers is less than 31%. O There is not sufficient sample evidence to support the claim that the percentage of smokers is less than 31%
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