A two-sample test for means was conducted to determine if the completion time for continuing education programs for nurses differed when costs are paid by employers (Yes) versus when individuals paid out of their own funds (No). The Excel Data Analysis tool results are provided. Compiele parts a through c below. Click the icon to view the Excel Data Analysis tool results. a. Explain how to use this information to draw a conclusion if the null hypothesis is Hoy - 0. Clearly state the correct critical value and p-value and your conclusion. The alternative hypothesis is H₁: 144-14y>0 The p-value is 0276 (Type an integer or a decimal rounded to three decimal places as needed.) Excel Data Analysis tool results t-Test: Two-Sample Assuming Unequal Variances Mean Yes 34.081 Therefore, fail to reject the null hypotheals. The data do not provide sufficient evidence to conclude that the mean completion time is longer for nurses when costs are paid by employers. b. Explain how to use this information to draw a conclusion if the null hypothesis is Ho Hy - Hy 20. Clearly state the correct critical value and p-value and your conclusion. Variance 445.045 No 28.601 348.085 Observations 12 S Hypothesized Mean Difference 0 df 16 t Stat 0.608 P(Tst) one-tail 0.278 t Critical one-tail 1.748 0.552 2.120 The alterative hypothesis is H₁: Hy-14 <0. The p-value is (Type an integer or a decimal rounded to Duree decimal places as needed.) Therefore, fail to rejec. the null hypothesis. The data do not provide sufficient evidence to conclude that the mean completion time is shorter for nurses when costs are paid by employers. c. Explain how to use this information to draw a conclusion if the null hypothesis is H. Hy-P=0. Clearly state the correct critical value and p-valua and your conclusion. The alternative hypothesis is H₁: PY - 20. The p-value is (Type an integer or a decimal rounded to three decimal places as needed.) Therefore fail to reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean completion time is different for nurses when costs are paid by employers. P(T≤t) two-tail t Critical two-tail Print Done - X