Amedical researcher says that 25% of U.S. adults are smokers. In a random sample of 272US. adults, 57 say that they are smokers at a - 0.05, is there enough evidence to support that less than 25% of US. adults are smokers? Compute the test statistics. 21.2303 2-1.5403 2-1.5403 2-1.2303 Moving to the next question prevents changes to this answer. Question 7
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- Suppose that a certain paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who died of lung cancer. Tar Level Frequency Low 108 Medium 383 High 568 Very high 155 Assume that the sample is representative of male smokers who die of lung cancer. Calculate the value of the ?2 test statistic that could be used to test whether the proportions of male smoker lung cancer deaths are not equal for all of the four tar level categories. The expected values are 303.5 for each of the four cells. (Round your answer to three decimal places.) ?2 =6.1 Sexual harassment of college students. A survey of 2036 undergraduate college students aged 18 to 24 reports that 62% of college students say they have encountered some type of sexual harassment while at college.1 Describe the sample and the population for this setting 6.4 How often do they play? In the Pew survey described in Example 6.1, those who played video games were asked how often they played. In this subpopulation, 223 adults said that they played every day or almost every day 6.10 How often do they play? Refer to Exercise 6.4 (page 318). (a) Find SE^p, the standard error of ^p. (b) Give the 95% confidence interval for p in the form of estimate plus or minus the margin of error. (c) Give the confidence interval as an interval of percents.Round up to the nearest integer for a-b.
- 2.17 Global warming: A research poll asked 1464 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Earth is warming Not warming Don't know (or refuse) Total Conservative Republican Mod/Lib Republican 0.08 0.08 0.05 0.21 0.07 0.02 0.09 0.18 Mod/Cons Democrat 0.15 0.01 0.06 0.22 Liberal Democrat 0.24 0.00 0.15 0.39 Total 0.54 0.11 0.35 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? O mutually exclusive not mutually exclusive b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that they are a…Write the null and hypothesis for this test.It currently takes users a mean of 2626 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 2626 minutes so that they can change their advertising accordingly. A simple random sample of 5151 new customers are asked to time how long it takes for them to install the software. The sample mean is 24.924.9 minutes with a standard deviation of 2.72.7 minutes. Perform a hypothesis test at the 0.0250.025 level of significance to see if the mean installation time has changed. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: μ=26: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯26
- A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Earth is warming Not warming Don't know (or refuse) Total Conservative Republican 0.11 0.2 0.02 0.33 Mod/Lib Republican 0.06 0.06 0.01 0.13 Mod/Cons Democrat 0.25 0.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive Incorrect b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places)c) What is the probability that a randomly chosen respondent believes the earth is warming given…13A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
- In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1160 American adults if they believe there was a conspiracy in the assassination and it found that 897 believe there was a conspiracy. Does the data show that the proportion of Americans who believe in this conspiracy is now lower? Test at the 9% level. What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? Fill in the correct null and alternative hypotheses:A poll found that 80% of American adults believed that there was a conspiracy in the death of President Kennedy. A later poll asked 1097 American adults if they believe there was a conspiracy in the assassination, and found that 834 believe there was a conspiracy. Do the data show that the proportion of Americans who believe in this conspiracy has decreased? Test at the 1% level. State the hypotheses. Họ: P ?v H,: P ?v Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .01, fail to reject Ho. O Since the p-value is less than .01, fail to reject Ho. O Since the p-value is less than .01, reject Họ- O Since the p-value is greater than .01, reject Ho. Interpret the results. O At the 1% level of significance, there is not enough evidence to show that the proportion of American adults who…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?