Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 212 out of a random sample of 275 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value. (Round to three or more decimal places.) 0 (e) Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than 75%? OYes No H x1 8 O X S 00 0=0 OSO OO

From the U.S. Census Bureau's American Community Survey in 2019 it was found that 33.13% of United States residents over the age of 25 had an educational attainment of a bachelor's degree or higher. In the District of Columbia, the percentage of residents over the age of 25 who had attained a bachelor's degree or higher was 59.67%. An investigator for the U.S. Census Bureau took a random sample of seven residents from the District of Columbia and asked them their highest educational degree they had obtained. When there is no data set posted for an investigation, open a blank StatCrunch page by clicking "Open StatCrunch" on the StatCrunch home page. a) Verify that the sample from the District of Columbia satisfies the conditions of the binomial experiment. Write one sentence to check each requirement in context of the investigation. b) Assuming the sample from the District of Columbia is a binomial experiment, build the probability distribution in a single table and include the table in…

In the Star and Tribune newspaper, there is an article entitled "1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 500 buses and find that 90 buses fail the safety inspection. Based on the new sample data, I construct this 90% confidence interval estimate for p: 152 < p < .208. Explain what this confidence interval means. O I am 90% sure that the number of buses that fail the inspection is between.152 and .208. O I am 95% sure that the true proportion of buses that fail the inspection is between .152 and .208. O I am 90% sure that the proportion of buses in this sample that fail the inspection is between .152 and .208. O I am 90% sure that the true proportion of buses that fail the inspection is between .152 and .208.

According to a survey, basketball is most popular among younger fans (aged 18-29) while baseball and football are most popular for fans 30 years of age or older. Suppose that in a survey of 2,500 randomly selected adults in the United States, respondents are asked to provide their favorite sport to watch out of basketball, baseball, and football. The results of the survey appear below. Favorite Professional Sport to Watch Respondent's Age Range Basketball 18-29 30-54 18-29 30-54 55+ 55+ 250 Total # 185 155 Basketball X X (a) Develop a joint probability table and use it to answer the following questions. Favorite Professional Sport to Watch Respondent's Age Range X Baseball X 110 270 215 Football Baseball X X X 235 x 685 395 Football X X X X Total x x x 1 (b) Construct the marginal probabilities for each of the professional sports leagues (basketball, baseball, and football). basketball baseball football