Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in
Posted: Wed May 11, 2022 2:53 pm
Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow-up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A City B n = 40 n = 50 X = $56,400x2= $59,300 S = $6,000 S = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use a = 0.05. H:Hq - uz so на: 11 - 12 > 0 Ho: My - My > 0 на: 1 – 2 = 0 Ho: My – Hy 20 Howy - 42 < 0 Ho: My - M2 = 0 Ho: My - H270 Holly - H2 = 0 на: и, – и, = 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) What is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. O Do not Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. Reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.