Researchers used to Functional Assessment of Cancer Therapy Scale-General (FACT-G) to assess the effectiveness of a telephone follow-up call on the wellbeing of cancer patients. Well-being was measured at discharge, and then 7 days later while patients were home. Is there sufficient evidence to indicate that quality of physical well-being significantly decreases in the first week of discharge among patients who receive a phone call?
a) State the Null and Alternative hypotheses.
b) Define the variable of interest in your hypotheses.
c) What test statistic will you use? Write out the formula and calculate it.
d) State what the distribution of the test statistic is.
e) Let alpha be 0.05. How many tails does your test have? What is/are the critical value(s) associated with that area below the curve?
f) What is the p value for this test?
g) What decision will you make, based on this p value?
h) What decision will you make, based on your calculated test statistic?