QUANTITATIVE METHODS IN POLITICAL SCIENCEHomework 9Due May 2, 2016Question 1A social worker randomly

QUANTITATIVE METHODS IN POLITICAL SCIENCEHomework 9Due May 2, 2016Question 1A social worker randomly selects 28 households with children. He finds a correlation of -0.21 between the average weekly work hours of the parents and the happiness index of the children in thathousehold. Is the correlation coefficient statistically significant at the 5% significance level? Be sureto state the null and the alternative hypotheses, draw a picture of the distribution, find the critical value, compute the test statistic, and state your decision. What do you conclude? Explain brieflyGiven: r=, n=, α=Step 1. State the Null and the Alternative hypotheses:H0 :HA :Step 2.The critical-tailedvalue istest for the correlation coefficient, d.f.=Step 3. Find the test statistic:Step 4. Decision Rule:Step 5. Conclusion & Explanation:.Question 2t-Test results have been redacted from this Stata output:Income98 has a standard deviation of 5.49, and educ has a standard deviation of 2.89. Is the slopestatistically significant at the 5% significance level? Be sure to state the null and the alternativehypotheses, find the critical value, compute the test statistic for the slope, and state your decision.What can you say about the relationship between education and income? Explain briefly.Given:b=is the dependent variable (y),, sy =, sx =, R2 =is the independent variable (x)., n=, α=Step 1. State the Null and the Alternative hypotheses:H0 :HA :Step 2.The critical-tailedvalue istest for the, d.f.=Step 3. Find the test statistic:Step 4. Decision Rule:Step 5. Conclusion &Explanation:2.