Question

QUESTION 11

1. A pharmacologist decided to test two common headache-tablets for their effectiveness: Tablet A 500mg and Tablet B 20 mg. The experiment was conducted as follows: A random patient that walked into the clinic and complained of a headache was given either tablet A, tablet B, or a placebo. After swallowing the tablet the patient was asked to stay in the clinic for an hour and afterwards to report whether the headache had disappeared, improved, or if the tablet had no effect (i.e. no improvement or even a worsening of the headache intensity). Use a 1% level of significance to test the claim that headache status is independent of headache relief tablet used.

   	Headache Disappeared	Headache Improved	No Change	Total
   Tablet A	70	20	15	105
   Tablet B	70	10	20	100
   Placebo	50	30	25	105
   Total	190	60	60	310

   
   Contingency Table: Headache 4
   Hypotheses:
   H₀: Headache status is independent of headache relief tablet used.
   H₁: Headache status is dependent on headache relief tablet used.
   
   Expected Values:
   Complete the 3x3 table of expected outcomes (round values to 3 decimal places).

   	Headache Disappeared	Headache Improved	No Change
   Tablet A	_____	20.323	______
   Tablet B	______	_______	19.355
   Placebo	64.355	________	_____

   
                                 
   Results:
   Calculate the  test statistic (use two decimal places).
   
   ________
   State the p-value (round answer to the nearest hundredth of a percent - i.e. 1.53%)

   p-value =________
   
   Conclusion:
   We_________ sufficient evidence to support the claim that patient headache status is dependent on which headache relief tablet was used (p_____ 0.01).
   (Use “have” or “lack” for the first blank and “<” or “>” for the second blank.)

Answer 1