Chi-Square Test for Independence Global Health Data from Brookdale\'s Internatio

Question

Chi-Square Test for Independence Global Health Data from Brookdale's International Center Country's Sanitation Status Percent of Country with Improved Sanitation Facilities divided at 67% Total 68 56 124 Poor Better 59 Infant Mortality Rate Divided at 25 deaths per 1,000 birthsHigh 49 58 Perform the Chi-Square Test for Test for independence to the two variables Sanitation Status and Infant Mortality Rate. Using a 5% level of significance ( = 0.05). (a) State the hypothesis that is being tested and the alternate hypothesis (b) Draw a sketch of the distribution (c) Place the critical value 02 (cv) on the sketch. Use a level of significance of 0.05 ( = 0.05) (d) Locate the test statistic 2 that you found from StatCrunch or Minitab (e) Write conclusion in the context of the problem Use StatCrunch or Minitab to find the test statistic for this data StatCrunch Enter the observed frequencies (not totals) in columns Select Stat Select Tables Select Contingency Select With Summary Highlight both columns Select the row Var1 Select Compute Minitab Enter the observed frequencies in columns Select Stat Select Tables Select Chi-Square Test Select names of the columns containing the observed frequencies Select OK

Explanation / Answer

Ans:

a)

H0:Sanitation status and infant mortality rate are independent.

Ha:Sanitation status and infant mortality rate are not independent.

c)

degree of freedom=(2-1)*(2-1)=1

critical chi square value=CHIINV(0.05,1)=3.841

d)

Test statistic:

Calculated chi square score=68.032

e)As,calculated chi square score>3.841,so we reject null hypothesis.

There is sufficient evidence to conclude that sanitation status and infant mortality rate are not independent.

Observed(O) Poor Better Total Low 9 59 68 High 49 7 56 Total 58 66 124 Expected(E) Poor Better Total Low 31.81 36.19 68 High 26.19 29.81 56 Total 58 66 124 (O-E)^2/E Poor Better Total Low 16.353 14.371 30.724 High 19.857 17.450 37.308 Total 36.210 31.821 68.032

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