Question

A company has to choose between three new fashion lines. Management wishes to know whether preference for lines is independent of job classification Plan Plan 2 Plan 3 Total Salary Workers Hourly Workers Total 160 40 140 60 6 0 40 360 140 200 200 100 500 The x test statistic is 13.89. Calculate the P-value. Based on a significance level of 5%, the correct conclusion is which of the following? (Use a table or technology.) There is sufficient evidence to reject, and conclude that the fashion line preference and yob classification are independent. There is insufficient evidence to reject and conclude that the fashion line preference and job classification are not independent, There is sufficient evidence to reject and conclude that the fashion line preference and job classification are not independent There is insufficient evidence to reject and conclude that the fashion line preference and job classification are independent.

Answer 1

Given, x test statistic = 13.89 Level of significance = 5% = 0.05 Degrees of freedom =(r-1)(c-1) = (2-1)*(3-1)=2 {2 rows and 3 columns} {Using P-value for given test statistic and degrees of freedom 2 = 0.00096 online calculator} Since p-value is less than level of significance 0.05, conclude that There is sufficient evidence to reject H, and conclude that the fashion line preference and job classification are not independent