(20 pts-10 pts each) Voters in a particular city who identify themselves with one or the other of two political parties were randomly selected and asked if they favor a proposal to allow citizens with proper license to carry a concealed handgun in city parks. The results are: Party A 150 Sample size Number in favor Party B 200 140 90 b) Construct the 90% confidence interval for the difference of the two populations propotions.
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- Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.a. set up appropriate null and alternative hypotheses of the test b. choose an appropriate test statistic and use the data to find the p-valueTen engineering schools in a country were surveyed. The sample contained 225electrical engineers, 80 being women; 175 chemical engineers, 40 being women. Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there a significant difference between the two proportions? Let p1 be the population proportion of electrical engineers that are women in the schools that were surveyed and let p2 be the population proportion of chemical engineers that are women in the schools that were surveyed. The 90% confidence interval is nothing<p1−p2<nothing. (Round to three decimal places as needed.)
- A college administrator is interested in determining the proportion of students who receive some sort of financial aid. Instead of examining the records for all students, the administrator randomly draws 120 students and finds that 48 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid.A 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 a survey, 37% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 200 pet owners and discovered that 73 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significance. Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer. ? 4 parts remaining Clear All Check Answer Screen Shot 202...png Show All
- A researcher wanted to know which local brewery had the best IPA. Each participant tried a sample from all three different breweries (Ore Dock, Black Rocks, and Barrel + Beam) and was asked to rate each one on a scale of 0-100. Use the six steps of hypothesis testing to determine if there was a significant effect of brewery on IPA popularity ratings. Participants ore dock blackrocks barrel + beam 1 40 30 53 2 42 45 65 3 30 38 64 4 37 32 43 5 23 28 38 What is the SS within?Refer to the data set of 2020 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not? PRESIDENT HEIGHT HEIGHT OPP Jackson 185 171 Polk 173 185 Taft 182 178 Johnson 192 180 Pierce 178 196 J. Kennedy 183 182 Garfield 183 187 F. Roosevelt 188 182 Buchanan 183 175 Harrison 173 168 T. Roosevelt 178 175 Van Buren 168 180 J. Adams 170 189 Wilson 180 182 G. H. W. Bush 188 173 Harrison 168 180 J. Q. Adams 171 191 Lincoln 193 188 Harding 183 178 Clinton 188 1882
- A clothing designer creates a unisex outfit and wants to be 95% certain that it’ll fit both men and women; it was designed to fit an individual of 65 inches height. An assistant gathers the heights of random men and women walking down the street (see the attached data). Using the data, determine if the outfit will fit both men and women with 95% confidence. Need a hypothesis test included. Data Table: Women Men 63.0 71.4 65.7 69.9 65.2 73.2 65.9 69.7 60.8 70.4 62.9 66.3 69.6 78.7 67.5 69.8 63.4 73.5 63.8 68.1 63.0 68.1 63.7 76.0 66.1 68.0 61.9 69.8 63.5 71.1 68.1 68.1 60.8 76.4 65.4 66.4 65.3 72.9 64.0 67.3 64.9 64.8 61.1 70.7The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home, because if the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. Should they use a hypothesis test or a confidence interval to answer this question? a) Hypothesis test. b) Confidence interval.