illustr Equity for Learning a Ashlea Campbell Writ w Region 3-Texas Disp 3. (20
ID: 3316392 • Letter: I
Question
illustr Equity for Learning a Ashlea Campbell Writ w Region 3-Texas Disp 3. (20 Points) Consider the data in Table 1 on Vitam in C and the incidence of colds. Table 2 contains the estimated expected frequencies for some cells for the test of an association between Vitam in C and the incidence of colds Table 1: Qbserved value Regularly take vitamin C Yes Few 32 Colds/year Some 13 Many 5 Total 50 No 16 27 Total 48 40 12 100 50 Table 2: Expected Values Regularly take vitamin C Yes Few 24 Colds/year Some 20 Total 48 40 12 100 Many Total 50 50 a) Fill in the empty cells in Table 2 for the expected values. b) Perform an appropriate test of hypothesis to determine whether th ere is an association between Vitam in C and the incidence of colds. Clearly, identify the hypothesis you are testing, report the test statistic and state yourUse the 5% significant levelExplanation / Answer
(a) Please find the complete expected value cell below. Each Cell value = Row Total * Colun Total/N, N = 100
(b) The Hypothesis:
H0: There is no relation between Vitamin C and the incidence of colds.
Ha: There is a relation between Vitamin C and the incidence of colds.
The Test Statistic: The table below gives the calculation of 2.
2test =10.567
The Critical Value: The critical value at = 0.05, degrees of freedom = (r – 1) * (c -1) = ( 3 - 1) * (2 - 1) = 2
2critical = 5.991
The Decision Rule: If 2 test is > 2 critical, then Reject H0.
The Decision: Since If 2 test (10.567) is > 2 critical (5.991), We Reject H0.
The Conclusion: There is sufficient evidence at the 95% significance level to conclude that there is a relation between Vitamin C and the incidence of colds.
Observed Yes No Total Few 32 16 48 Some 13 27 40 Many 5 7 12 Total 50 50 100 Expected Yes No Total Few 24 24 48 Some 20 20 40 Many 6 6 12 50 50 100Related Questions
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