A Sample of 30 Observations Provides the Following Statistics: S_x

question 71

Essay

A sample of 30 observations provides the following statistics: s_x = 14; s_y = 19; s_xy = -150.
A) Calculate and interpret the sample correlation coefficient r_xy.
B) Specify the hypotheses to determine whether or not x and y are significantly correlated.
C) At the 5% significance level, what is the conclusion to the test using the critical-value approach? Explain.
D) At the 5% significance level, what is the conclusion to the test using the p-value approach? Explain.

• A) Calculate and interpret the sample correlation coefficient r_xy.
• B) Specify the hypotheses to determine whether or not x and y are significantly correlated.
• C) At the 5% significance level, what is the conclusion to the test using the critical-value approach? Explain.
• D) At the 5% significance level, what is the conclusion to the test using the p-value approach? Explain.

---

Definitions:

Child Labor

The employment of children in any work that deprives them of their childhood, interferes with their ability to attend regular school, and is mentally, physically, socially, or morally dangerous and harmful.

Educational Opportunities

The access and availability of options for learning and education available to individuals within a community or society.

Technological Change

Innovation or improvements in technology that enhance productivity, efficiency, or quality in the production of goods and services.

Trade Liberalization

The removal or reduction of trade barriers, such as tariffs and quotas, to encourage the free flow of goods and services between countries.