Cole, a researcher with the Miller Animal Research Association, is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is more than than the proportion of women cat owners. Cole obtains two independent samples of men and women cat owners and finds from one sample of 68 men (group 1), 27 owned cats. In the second sample of 56 women (group 2), 17 owned cats. Test Cole's claim at the a = 0.1 significance level. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho: ? ✓ ? く ? ✓ H₁: ? ✓ ? く ? ✓ b. What is the appropriate distribution to use for the hypothesis test? Select an answer ✓ c. Find the test statistic. Test Statistic: d. Determine the P-value: P-value: e. What decision results from the test? Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. ○ The test results are inconclusive. No conclusion can be made about Cole's claim. ○ There is insufficient evidence to support the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are not statistically significant. O The evidence disproves the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are statistically significant. ○ There is evidence to support the claim that the proportion of men cat owners is more than than the proportion of women cat owners. The data are statistically significant.

A medical researcher randomly assigns 100 high-risk heart patients into two groups. One group will get open heart surgery and the other groups will get a transcatheter aortic valve replacement. She will compare the two groups to see how long they live after their procedures. What statistical test should she use to analyze the data? a. Chi Square Goodness of Fit Test b. Correlation c. One sample t-test d. Independent Samples t-test e. Factorial ANOVA

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.

A report summarizing scores for students on a verbal aptitude test x and a math aptitude test y gives the following results: x = 480,  sx = 80,  y = 500,  sy = 120, r = 0.6.

2. Metal Tags on Penguins and Survival. Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Test whether the survival rate is lower among metal- tagged penguins than among electronic-tagged penguins. Use subscripts E for Electronic and M for Metal. a. State hypotheses. b. Calculate the sample statistic PE - PM c. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.0898. d. Find the p-value and draw a Normal curve with z-statistic and appropriate shaded region. Normal curve: p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 90% confidence interval to three decimal places for this difference in proportions, given SE= 0.08836. Show your…

A group of statisticians decides they will answer the question:  Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park?  They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible.  They decide they will collect the sample during the winter, the time the elk herds are most stressed.  They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd.  They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy.  They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what is the same for all samples (the control)?

A group of statisticians decides they will answer the question:  Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park?  They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible.  They decide they will collect the sample during the winter, the time the elk herds are most stressed.  They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd.  They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy.  They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what is one of the factors that could negatively effect sample collection?

A researcher believes that there may be a negative association between the quantity of fertilizer used and the percentage of the population who live in rural areas in different countries. The data below shows the percentage of the population who live in rural areas and the fertilizer use measured in kg per hectare, for a random sample of 11 countries. 33%= 76kg, 6%=44kg, 58%= 6kg, 35%=68kg, 81%=3kg, 69%=10kg, 61%=7kg, 7%=176kg,74%=5kg, 71%=137kg, 17%=157kg Use the Spearman's rank order coefficient method to affirm or disagree with the researchers assumption.

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 i

C, D, G