Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1807 people and found that 574 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 H1: ? 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 34%. O There is not sufficient evidence to warrant rejection of the claim that the percentage of smokers is less than 34%. O The sample data support the claim that the percentage of smokers is less than 34%. O There is not sufficient sample evidence to support the claim that the percentage of smokers is less than 34%

Español According to previous studies, 10% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 12%. The student is going to take a random sample of 900 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. 0.12 (b) Find the standard deviation of p. X 5 (c) Compute an approximation for P(p≤0.12), which is the probability that there will be 12% or fewer left-handed people in the sample. Round your answer to four decimal places. A 27

In a hypothesis test, H0 is p < 0.45 and Ha is p > 0.45. If the test statistic is z = 1.68, what is the P-value? Draw picture and give P-value only. Do not do rest of testing.

USA Today ran a report about a UNC poll of 1248 adults from the southern U.S. It was reported that 8% of those surveyed believe that Elvis Presley still lives. The article began with the claim that "almost 1 out of 10" Southerners still thinks Elvis is alive. At the 0.01 significance level, test the claim that the true percentage is 10%.

Test the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: u= 40; a = 0.06; o = 3.41. Sample statistics: x = 39.9, n = 71 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H>40 О В. Но: н- 40 Hai H= 40 Ha: H 40 Ο F. Ho: μ# 40 Ha:H= 40

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10. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be? a. Ho: b. Ha

18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?

8. The Harris Poll conducted a survey in which they asked "How many tattoos do you currently have on your body?" Of the 1205 randomly selected males who responded, 181 indicated that they had at least one tattoo. Of 1097 randomly selected females who responded, 143 indicated that they had at least one tattoo. Test using a 99% level of confidence whether the proportion of males with at least one tattoo is different from the proportion of females with at least one tattoo.