A study of the following financial institutions showed their assets in million and pretax profit. AT the .05 significance level, can we conclude that there is positive correlation in the population?   Follow the correlation coefficient 101 example and complete steps 1-7.   STEP 1 Specify the population parameter of interest.       STEP 2 Formulate the appropriate null and alternative hypotheses.       STEP 3 Specify the level of significance       STEP 4 Compute the correlation (r) coefficient and the (t) test statistics. You can use excel to compute the correlation. The following sample data were obtained. Assets in million 20 40 20 30 10 10 Pretax Profit 30 60 40 60 30 40   Compute the t-test statistic. What is the degrees of freedom (df)? What is the results of t-test statistic ________________ STEP 5 Construct the rejection region and decision rule. STEP 6 Reach a decision. (Reject or Do Not Reject) STEP 7 Draw a conclusion.

At the .05 significance level, does the data below show significant correlation? x y 3 12.87 4 13.66 5 17.95 6 23.44 7 15.93 8 13.62 9 27.91

Two last part. Hi Team I need help with the last part of this exercise and a short explanation of why is the correct option please, thanks.

5.Stocks and Mutual Fund Ownership It has been found that   51.4% of U.S. households own stocks and mutual funds. A random sample of   300 heads of households indicated that 178 owned some type of stock. At what level of significance would you conclude that this was a significant difference? Use the   P-value method. Assume the variable normally distributed. Use a graphing calculator. Find the P-value. At what level of significance is this a significant difference?

A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.05 significance level. A. 0.330 B. 0.236 C. 0.279 D. 0.254 ( don't hand writing solution)

What are the reasons why causal conclusions cannot be made from a correlation?

Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Use a significance level of x = 0.05 to answer the following questions. Correlation Results Correlation coeff, r: Critical r: P-value (two tailed): 0.000 Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) OA. There are two critical values at r= ± OB. There is one critical value at r= Is there sufficient evidence to support the claim that there is a linear correlation between the weigh of bears and their chest sizes? Choose the correct below and, if necessary, fill in the answer box within your choice. (Round to three decimal places as needed.) exceeds the critical value. A. No, because the absolute value of r= OB. Yes, because the absolute value of r= OC. No, because r= exceeds the positive critical value. falls…

C12. Using Monitoring the Future 2017 data, we examine whether a relationship exists between the race/ethnicity of a student and how the student rates the importance of being a community leader. IMPLDRCOMUNTY is measured on an ordinal scale: 1 = not important, 2 = somewhat important, 3 = quite important, and 4 = extra important. Analysis of variance results are presented.  1) Set alpha at .05. What do you conclude about the relationship between student race/ethnicity and the importance of being a community leader? 2) What is the eta square for this model? 3) If alpha were set at .01, would your decision change? Explain.