Question 7 A health researcher is studying the proportion of adults in a city who smoke. From a random sample of 200 adults, 72 reported that they smoke. The researcher wants to calculate a 95\% confidence interval for the population proportion of adults who smoke in the city. (CO2 : PO2-15 marks)
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From a random sample of 200 adults, 72 reported that they smoke. The researcher wants to calculate a 95% confidence interval for the population proportion of adults who smoke in the city. (CO2 : PO2 – 15 marks) Show more…
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The Centers for Disease Control reported the percentage of people 18 years of age and older who smoke (CDC website, December 14, 2014). Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of .27. a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02 (rounded up to the next whole number)? Use 95% confidence. b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population (to 4 decimals)? c. What is the 95% confidence interval for the proportion of smokers in the population (to 4 decimals)? ( , )
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In a simple random sample of 100 adults, we find that 31 smoke. (a) Based on this sample, find a 95% confidence interval for p, the proportion of all adults that smoke. (b) Using this same sample, test the hypothesis that the proportion of all adults that smoke is 25%, at a 5% level of significance. i. State the hypotheses. ii. Using the randomization distribution in StatKey, find the p-value. iii. State your conclusion, at a 5% level of significance.
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