Exercise 20-46 Algo A social scientist analyzes the relationship between educational attainment and salary. For 30 indiv
Posted: Wed May 11, 2022 12:28 pm
Exercise 20-46 Algo A social scientist analyzes the relationship between educational attainment and salary. For 30 individuals, he collects data on each Individual's educational attainment (in years) and his/her salary (In $1,000s). He then calculates a Spearman rank correlation coefficient of 0.35. Use Table 1. a. Specify the competing hypotheses to determine whether the Spearman rank correlation coefficient differs from zero. He: Ps = 8; HA: Ps + He: esse; HA: PS > 2 He: Ps 2 0; HA: b-1. Assume that the distribution of rs is approximately normal. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic
b-2. Find the p-value. 0.01 Picture p-value <0.025 0.025 Picture o-value <0.05 0.05 Picture p-value < 0.10 p-value < 0.01 p-value Picture 0.10 c. Can we conclude at the 5% significance level that educational attainment and salary are correlated? No, since we do not reject Hg. No, since we reject He Yes, since we do not reject Hg- Yes, since we reject Hg.
b-2. Find the p-value. 0.01 Picture p-value <0.025 0.025 Picture o-value <0.05 0.05 Picture p-value < 0.10 p-value < 0.01 p-value Picture 0.10 c. Can we conclude at the 5% significance level that educational attainment and salary are correlated? No, since we do not reject Hg. No, since we reject He Yes, since we do not reject Hg- Yes, since we reject Hg.