QUESTION 11

1. A pharmacologist decided to test two common headache-tablets fortheir effectiveness: Tablet A 500mg and Tablet B 20 mg. Theexperiment was conducted as follows: A random patient that walkedinto the clinic and complained of a headache was given eithertablet A, tablet B, or a placebo. After swallowing the tablet thepatient was asked to stay in the clinic for an hour and afterwardsto report whether the headache had disappeared, improved, or if thetablet had no effect (i.e. no improvement or even a worsening ofthe headache intensity). Use a 1% level of significance to test theclaim that headache status is independent of headache relief tabletused.

   	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 headacherelief tablet used.
   H₁: Headache status is dependent on headacherelief tablet used.
   
   Expected Values:
   Complete the 3x3 table of expected outcomes (round values to 3decimal places).

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

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

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