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?

Suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. Last month, 35% of the representative sample of registered voters approved of the president. For this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. The significance level for this test was 0.05.The results of the hypothesis test of the new survey showed a p-value of 0.008.Which of the following statements is correct? Check all that apply. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.

The following two hypotheses are tested:Ho: The proportion of U.S. adults who oppose same-sex marriage is roughly 50%.Ha: The proportion of U.S. adults who oppose same-sex marriage is above 50% (i.e., the majority oppose).Suppose a survey was conducted in which a random sample of 1,100 U.S. adults was asked about their opinions about same-sex marriage, and based on the data, the p-value was found to be .002.Use a .05 (5%) significance level.The fact that the p-value = .002 means that

A researcher is wondering whether the smoking habits of young adults (18-25 years of age) in a certaincity in the U.S. are the same as the proportion of the general population of young adults in the U.S. Arecent study stated that the proportion of young adults who reported smoking at least twice a week ormore in the last month was 0.16. The researcher collected data from a random sample of 75 adults in thecity of interest. State the hypotheses to be tested for this study

According to a Pew Research Center, in May 2011, 35% of all American adults had a smartphone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students.She selects 300 community college students at random and finds that 120 of them have a smartphone. In testing the hypotheses H0, P = 0.35, versus Ha, p > 0.35, she calculates the test statistic as Z = 1.82.Use the normal table to identify the appropriate p-value for this Z score.Click here to access the normal table.Given these results, which of the following is an appropriate conclusion? There is enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.034). There is enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.068). There is not enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.966). There is not enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.034).

Historically, about 59% of the population of a certain country believed that the planet’s temperaturewas rising. A March 2010 poll wanted to determine whether this proportion had changed. The pollinterviewed 954 adults in the population, and 598 said they believed that global warming was real.Assume these 954 adults represented a simple random sample. State hypotheses. Report statistic,test-statistic, and p-value. At the 5% significance level, state your conclusion about the original claim.Round all values to the nearest thousandth