A court holds jurisdiction over five counties, and the juries are required to be made up in a representative manner from the eligible populations of these five counties. An investigator notices that the county where she lives has 14% of the total population of the five counties eligible for jury duty, yet records reveal that over the past five years only 122 out of the 1386 jurors used by the court reside in her county. Run a hypothesis test to determine if this constitutes reasonable evidence that the jurors are not being randomly selected from the total population. What is the p-value of the test?
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- A global corporation is currently in the process of expanding its operations, and the only option is to move to another site. The Human Resource Team has conducted a survey to its employees who live far from the site in order to find out if they are willing to stay in dormitories. The survey categorizes its respondents according to gender. In the samples sample of 500 males and 800 females, those who are willing to stay in dormitories are 241 and 168, respectively. Construct a 98% confidence interval for the difference between the two population proportions. Assuming that the HR’s estimated difference between the proportion of genders who are willing to stay in dormitories is 35%, is the team’s estimation accurate?Historians are interested in the accuracy of eyewitness accounts of traumatic events. One study examined survivors' recall of the sinking of the ship Titanic (Riniolo, Koledin,Draku;ic & Payne, 2003). The researchers reviewed the transcripts of survivors testimony at governmental hearings (www.titanicinquiry.org), to see whether they testified that the ship was intact or breaking apart during the ships final plunge (it was in fact breaking apart). To test for eyewitness accuracy, testimony of 20 survivors was examined to see if there was an equal likelihood of survivors saying the ship was intact or breaking apart. Proposed analysis and why you chose the analysis Scales of measurement (i.e., nominal, ordinal, interval, ratio) for variable(s) that will be used in analysis Null and alternative hypotheses (based on context of study) in symbolsAmong college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. 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 65%. A poll is commissioned, and 199 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 0.01 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 Ho and the alternative hypothesis H₁. H₁ :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…
- Out of the four diagnose cells, how many demonstrate an observed cell count greater than what would be expected under independence between the neurologist ratings?A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing tests by the Food and Drug Administration (FDA) before its introduction into the market. The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3. weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Person Weight Before Diet Weight After Diet 1 165 160 2 210 207 3 203 202 4 216 208 220 217 5 (1) Is there a significant difference between the means of the weights before and after the diet? Use a 0.05Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 65% . 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 65% . A poll is commissioned, and 194 out of a random sample of 270 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 0.05 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 H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic.…
- Two hundred students were sampled in the College of Engineering. It was found that: 137 take math, 50 take history, 124 take English, 33 take math and history, 29 take history and English, 92 take math and English, 18 take math, history and English. From the given information, there are a. Blank 1 students taking neither math nor history. b. Blank 2 students taking at least 2 subjects. c. Blank 3 students taking no more than one subject.A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 330 345 452 270 298 286 537 744 Employee 317 350 473 280 307 283 523 769 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. multiple choice 1 H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or…Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
- There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? A. The selections are dependent, because the selection is done without replacement. B. The selections are dependent, because the sample size is not small relative to the population. C. The selections are independent, because the sample size is small relative to the population. D. The selections are independent, because the selection is done without replacement. If the selections are dependent, can they be treated as independent for the purposes of calculations? A. Yes, because the sample size is greater than 5% of the population. B. Yes, because the sample size is less than 5% of the population. C.…According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to iA state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…