The following table gives the results of flower color and type of leaf.

Flower Color Flat Curled
Pink 2 30
Red 9 12

Examine the vaccine has a effect in controlling the disease

This answer is restricted. Please login to view the answer of this question.

Login Now

Solution:

Problem to test:

Null Hypothesis(H0): There has no effect in controlling the disease

Alternate Hypothesis(H1): There has effect in controlling the disease

Test Statistics:

Since, this is the case of 2 by 2 table and one shell frequency is less than 5 then we have formula,

\(X_{cal}^2 = \frac{N[(ad – bc) – \frac{N}{2}]^2}{(a+b)(c+d)(a+c)(b+d)}\)

For calculation of X2

Flower Color Flat Curled Total
Pink 2   (a) 30   (b) 32   (a+b)
Red 9   (c) 12   (d) 21   (c+d)
Total 11   (a + c) 42   (b + d) 53  (a+b+c+d = N)

Now,

\(X_{cal}^2 = \frac{53.[(2 \times 12 – 30 \times 9) – \frac{53}{2}]^2}{32 \times 21 \times 11 \times 42}\)

\(= \frac{3935581.25}{310464}\)

= 12.67

Critical Value: The tabulated value of X2 at 0.05 level of significance with (2-1)(2-1) = 1 d.f. is \(X_{(0.05, 1)}^2 = 3.841\)

Decision: Since \(X_{cal}^2\) = 12.67 > \(X_{tab}^2\) = 3.841. So, H1 is accepted and H0 is rejected.

Conclusion: Hence, There has effect in controlling the disease.

If you found any type of error on the answer then please mention on the comment or report an answer or submit your new answer.
Leave your Answer:

Click here to submit your answer.

Discussion
0 Comments
  Loading . . .