Question

Training hours are essential for employees, but managers were complaining that their entire team Was training at the same time and therefore productivity was down. The CEO wanted to see if there was any truth to this, so she surveyed the amount of training hours each employee had in a week's time and then asked the managers how many employees they felt out of their team of 100 were at training for a specific number of minutes that week Conduct a Chil-Square bypotheris test with a 1% level of significance.

Minutes in training observed (0) expected (E) 0-E (0-E)² (0-E)²/E
30 70 62
60 59 48
90 60 52
120 15 10

a) Record the null and atternative hypotheses.

Answer 1

To conduct a Chi-Square hypothesis test, set up the null hypothesis as no difference in training hours distribution and the alternative hypothesis as a significant difference.

Step-by-step explanation:

When performing a Chi-Square hypothesis test, we establish the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis typically states that there is no effect or no difference, and it is what we test against.

For this scenario, the null hypothesis could be that the training hours of employees are distributed equally throughout the week, meaning there is no particular pattern to when employees take training. On the other hand, the alternative hypothesis would be that there is a significant difference in the distribution of training hours, indicating that they are not spread out equally.

With a 1% level of significance, you're looking for evidence that strongly suggests rejecting the null hypothesis. To perform a Chi-Square test, you would calculate the Chi-Square statistic using the provided observed frequencies (O), expected frequencies (E), and the formula Χ² = ∑(²(O-E)²/E).

Then, you would compare the calculated statistic to the critical value from the Chi-Square distribution table with the appropriate degrees of freedom. If the calculated value is greater than the critical value, you reject the null hypothesis. Otherwise, you do not reject it.