Let's assume that 40% of the nation is registered republican.  Does the Tahoe environment reflect the national proportion?  Test the hypothesis that Tahoe residents differ from the rest of the nation in their affiliation, if of 200 locals surveyed, 75 are registered republican. The test statistic is z= -0.72. Which graph represents the correct sampling distribution for this hypothesis test?

Let's assume that 40% of the nation is registered republican.  Does the Tahoe environment reflect the national proportion?  Test the hypothesis that Tahoe residents differ from the rest of the nation in their affiliation, if of 200 locals surveyed, 75 are registered republican. The 95% confidence interval is (0.30791, 0.44209). What should be our conclusion

A researcher is wondering whether the drinking habits of adults in a certain region of the country are inthe same proportion as the general population of adults. Suppose a recent study stated that theproportion of adults who reported drinking once a week or less in the last month was 0.26. The nullhypothesis for this test is H0: p = 0.26 and the alternative hypothesis is Ha: p < 0.26. The researchercollected data from 150 surveys he handed out at a busy park located in the region. Check that theconditions hold so that the sampling distribution of the z-statistic will approximately follow the standardnormal distribution. Are the conditions satisfied? If not, choose the condition that is not satisfied.A) Yes, all the conditions are satisfied.B) No, the researcher did not collect a large enough sample.C) No, the population of interest is not large enough to assume independence.D) No, the researcher did not collect a random sample

Time magazine reported the result of a telephone poll of 800 adult Americans. The question posed of the Americans who were surveyed was: "Should the federal tax on cigarettes be raised to pay for health care reform?" The question to be investigated: Is there sufficient evidence at the 𝛼=0.05, say, to conclude that the two populations — smokers and non-smokers — differ significantly with respect to their opinions?The test statistic for this hypothesis test is z = 2.18 with p-value 0.0292.What is the correct conclusion?

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.Which of the following is true regarding the sample proportion p̂ of "yes" responses? The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p. The sample proportion from sample of 100 is more likely to be close to the true population proportion, p. The sample proportion in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.Which one of the following is true regarding the standard deviation of the sampling distribution of the sample proportion, p̂, of "yes" responses?Group of answer choicesThe standard deviation of the sampling distribution will be the same for both sample sizes.The standard deviation of the sampling distribution will be 3 times larger with sample size 100.The standard deviation of the sampling distribution will be 9 times smaller with sample size 100.The standard deviation of the sampling distribution will be 9 times larger with sample size 100.The standard deviation of the sampling distribution will be 3 times smaller with sample size 100.