Find or estimate the P-value of the test statistic. ○ P-value > 0.250 ○ 0.125 < P-value < 0.250 O 0.100 < P-value < 0.125 ○ 0.075 < P-value < 0.100 0.050 P-value < 0.075 ○ 0.025 < P-value < 0.050 ○ 0.010 < P-value < 0.025 0.005 < P-value < 0.010 ○ 0.0005 < P-value < 0.005 ○ P-value < 0.0005 Conclusion ○ Reject the null hypothesis. There is sufficient evidence that p > 0. ○ Reject the null hypothesis. There is insufficient evidence that p > 0. Fail to reject the null hypothesis. There is sufficient evidence that p > 0. O Fail to reject the null hypothesis. There is insufficient evidence that p > 0. (e) If someone had x = 9 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) 38.75 thousand dollars (f) Find S. (Round your answer to three decimal places.) S (g) Find a 90% confidence interval for the annual salary of an individual with x = 9 job changes. (Round your answers to two decimal places.) lower limit upper limit thousand dollars thousand dollars (h) Test the claim that the slope ẞ of the population least-squares line is positive at the 5% level of significance. (Round your test statistic to three decimal places.) t= Find or estimate the P-value of the test statistic. ○ P-value > 0.250 O 0.125 < P-value < 0.250 ○ 0.100 < P-value < 0.125 ○ 0.075 < P-value < 0.100 ○ 0.050 < P-value < 0.075 ○ 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 0.005 P-value < 0.010 ○ 0.0005 < P-value < 0.005 ○ P-value < 0.0005 Conclusion O Reject the null hypothesis. There is sufficient evidence that ẞ > 0. Reject the null hypothesis. There is insufficient evidence that ẞ >0. Fail to reject the null hypothesis. There is sufficient evidence that ẞ > 0. ○ Fail to reject the null hypothesis. There is insufficient evidence that ẞ > 0. (i) Find a 90% confidence interval for ẞ and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation ◇ For each less job change, the annual salary increases by an amount that falls outside the confidence interval. A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. x (number of job changes) У (Salary in $1000) 5 6 3 6 1 5 9 10 10 3 36 35 37 32 32 38 43 37 40 33 I USE SALT In this setting we have Ex = 58, y= 363, 2x² = 422, y2 = 13,289, and Exy = 2171. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.) b= (b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y). 44 У 44 У 42 40 38 36 34 42 40 38 36 34 32 32 30 x 30 x 2 4 6 8 10 0 2 4 8 10 44 42 40 У 38 36 34 32 y 44 42 40 38 36 34 32 x 30 x 2 4 6 8 10 0 2 4 6 8 10 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) лиш What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % (d) Test the claim that the population correlation coefficient p is positive at the 5% level of significance. (Round your test statistic to three decimal places.)