Scenario 4. A researcher wants to see if there is an association between the number of hours high school students spend playing sports and their self-esteem.  What is the most appropriate test statistic to use to test the hypothesis in scenario 4? A) One-way ANOVA B) Dependent samples t-Test C) Z-score D)P-test E) Regression Analysis F) Correlation Coefficient G) One sample z-Test H) F-test I) Independent samples t-Test   What is the independent variable for scenario 4? A) Self esteem B) The time spent doing other activities C) The participants D) Hours spent playing sports E) There is no IV for this type of analysis

When performing a statistical analysis on two variables, you identify that there is a very strong, positive correlation between the two items. A) Is it safe to assume that since two items are very strongly correlated, one of them must be the cause the other? Please write complete responses and explain your response in detail.

Suppose Ava, an education researcher, wants to understand the relationship between foreign language skills and English verbal aptitude for middle school students in her school district. In order to draw an inference about the population linear correlation coefficient, p, for foreign language skills and English verbal aptitude, she conducts a hypothesis test at a significance level of a = 0.05 to determine if there is a significant linear correlation between the two variables. Ava selects a simple random sample of 33 Verbal aptitude test score vs. foreign language grade eighth grade students within her school district. She gathers the students' final seventh 80 grade foreign language course grades and their test scores from an English verbal 60 aptitude test. 40- Ava produces a scatter plot with the foreign language course grades on the horizontal axis and the verbal aptitude test scores on the 20 vertical axis. The Pearson product-moment correlation coefficient, r, for her sample of 20…

Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 373 positive​ signs, 333 negative​ signs, and 22 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference.       Question content area bottom Part 1 Let η1 denote the median of the first variable and η2 denote the median of the second variable. What are the null and alternative​ hypotheses?