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Common colds are typically caused by a rhinovirus. In a test of effectiveness of Echinacea, some...

  1. Common colds are typically caused by a rhinovirus. In a test of effectiveness of Echinacea, some test subjects were treated with Echinacea extracted with 20% ethanol, some were treated with Echinacea extracted with 60% ethanol, and others were given a placebo. All of the test subjects were then exposed to rhinovirus. Results are summarized in Table given below. Use a 0.05 significance level to test the claim that getting an infection (cold) is independent of the treatment group. What does the result indicate about the effectiveness of Echinacea as a treatment for colds? Given that he critical value of c2 for 1d.f. = 3.841, the critical value of c2 for 2d.f. = 5.991, the critical value of c2 for 3d.f. = 7.815.

Treatment Group

     Total

Placebo

Echinacea:20%extract

Echinacea:60%extract

Infected

85

45

40

170

Not Infected

15

5

10

30

Total

100

50

50

200

  1. What is the statistical hypothesis? Define the following terms with reference to testing of a hypothesis-
  1. Null and Alternative Hypothesis
  2. Critical Region
  3. Significance Level
  4. Types of Hypothesis Tests
  5. Two types of Errors in Hypothesis Tests

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