ege, Pennsylvania, ranks first with 71.1% of its population made up of coll na random sample of 130 people from State College, more than 50 are no least 4 decimal places and intermediate z-value calculations to 2 decimal
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- Percent of school children receiving free or reduced-fee lunches at school (X, P_RFM) and percent of bicycle riders wearing a helmet (Y, P_HELM) at 7 schools. P_RFM 50 11 2 19 26 73 81 P_HELM 22.1 35.9 57.9 22.2 42.4 5.8 3.6 Values for (use 2 decimals for SS): ∑X2 ∑X ∑Y2 ∑Y ∑XY SSX SSY SSXY Pearson’s correlation coefficientAre freshmen psychology majors less likely to change their major before they graduate compared to freshmen business majors? 454 of the 687 freshmen psychology majors from a recent study changed their major before they graduated and 439 of the 619 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.05 level of significance? The test statistic z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)A sample of eight math SAT scores is given below: 650,650,520,680,600,740,610,570 Find the first and third quartiles and the interquartile range for this sample. First Quartile = Third Quartile = Interquartile Range = Hint You should be using the formula Lp=p/100×(n+1)Lp=p/100×(n+1).
- To estimate the mean height of female high school juniors, you take a random sample of 30 female students and get these results (in inches): 72, 51, 67, 68, 61, 69, 58, 56, 60, 56 66, 61, 60, 59, 59, 54, 58, 53, 68, 63 57, 62, 63, 64, 56, 62, 58, 67, 57, 70 If the o is 5.3, based on past research, and you want to construct a 97% confidence interval using (estimate) + (margin of error)= (estimate) + z* what's the margin of error? O A. .968 inches B. 2.1 inches О с. 2.16 D. .968 E.Can you help me with the code for how to do this in R please? 1. The study "Digital Footprints" ([Pew Internet and American Life Project]("Digital Footprints" (Pew Internet and American Life Project)) reported that 47\% of Internet users have searched for information about themselves online. The 47\% figure was based on a random sample of Internet users. Suppose that the sample size was `n = 400`. i) Use this information to estimate the true proportion of Internet users who searched information about themselves using a default 95\% confidence interval. ii) Repeat (i) but instead use a 98\% Confidence Level. Use function `prop.test()`. iii) What is the main difference between the intervals computed in (i) and (ii)? What do you think is the role of the confidence level in determining the precision of the confidence interval estimate?After conducting an ANOVA, you end up with the following results: F(2, 27) = 8.80, p < .05. How many groups were included in your analysis? Enter your answer as a whole number with no decimal places (i.e., 10, not 10.01, not 10.1, not 10.001).
- Are couples that live together before they get married more likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 217 of the 671 couples from the study who lived together before they got married were divorced within five years of marriage. 132 of the 421 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the divorce rate…Can you help me with the code for this in R please? 2. The article ["CSI Effect Has Juries Wanting More Evidence" (USA Today, 2004)](https://usatoday30.usatoday.com/news/nation/2004-08-05-csi-effect_x.htm) examines how the popularity of crime-scene investigation television shows in influencing jurors' expectation of what evidence should be produced at a trial. In a survey of 500 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. i) Assuming that it is reasonable to regard this sample of 500 potential jurors as representative of potential jurors in the US, use the given information to construct and interpret a 95\% confidence interval for the proportion of all potential jurors who regularly watch at least one crime-scene investigation series. ii) Using the same sample proportion as part (i), construct a 95\% confidence interval for same proportion but instead use a sample size of 50. iii)…A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.
- please answer all questions fully and show all work down to the numerical values for each partAre couples that live together before they get married just as likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 268 of the 674 couples from the study who lived together before they got married were divorced within five years of marriage. 173 of the 405 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for the difference between two dependent population means The null and alternative hypotheses would be: Select an answer μ1 p1 Select an answer ≠ > < = Select an answer p2 μ2 Select an answer μ1 p1 Select an answer < = > ≠ Select…