ewsgroup cting dence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 548 randomly selected Texans surveyed, 384 were in favor of the initiative and of the 560 randomly selected New Yorkers surveyed, 463 were in favor of the initiative. a. With 99% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between (round to 3 decimal places). (round to 3 decimal places) and b. If many groups of 548 randomly selected Texans and 560 randomly selected New Yorkers were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about percent will not contain the true population difference in proportions. Question Help: Message instructor

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…

Pew Research surveyed a random sample of 1,313 U.S. adults in 2011. They asked them: "How important is it, to you personally, to be successful in a high-paying career or profession?" Importance Very important Somewhat important Not important Total Chi-square test Statistic Chi-square total female male 403 408 811 (66.1%) (58.0%)| (61.8%) 158 218 376 (25.9%) (31.0%) (28.6%) 49 77 126 (8.0%) (11.0%) (9.6%) 610 703 1313 (100%) (100%) (100%) df Value P-value 2 9.287 0.0096 We want to test if men and women have the same ideas about the importance of this kind of success. What are the 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…

13)   In a clinical study of an allergy drug, 115 of the 260 subjects reported experiencing significant relief from their symptoms. From the data, a 90% C.I. for the percentage of all subjects reported experiencing significant relief from their symptoms is (,blank ), blank  (round to the 3rd decimal place).

Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the…

A survey of 2314 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 428have donated blood in the past two years.   ​(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.   p=____? ​(Round to three decimal places as​ needed.)

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?