# Statistical Significance for 2 x 2 Tables Graded Assignment | Read Chapter 13| Back to Assignment Due Friday 04.26.19 at 11:00 PM Keep the Highest: 0.2/1 Attempts: 0.2 2. Chi-square tests for tables...

Statistical Significance for 2 x 2 Tables Graded Assignment | Read Chapter 13| Back to Assignment Due Friday 04.26.19 at 11:00 PM Keep the Highest: 0.2/1 Attempts: 0.2 2. Chi-square tests for tables larger than 2 x 2 Aa Aa The Chernobyl accident in Ukraine in 1986 is considered the worst nuclear plant disaster in history. Suppose you are a researcher conducting a study to determine whether the Chernobyl accident caused an increase in thyroid cancer among children in southern Belarus. You collect a random sample of 123 children with thyroid cancer and a random sample of 123 children without thyroid cancer from this region. The thyroid dose from radioactive iodine (131I) is estimated for each child and categorized into three intervals-less than 0.30 Gy, from 0.30 to 0.99 Gy, and 1.00 Gy or more Select and read the appropriate background notes: The following contingency table compares the samples of children with and without thyroid cancer in terms of their counts in the three thyroid-dose intervals Estimated Thyroid Dose from 1311 Total 123 123 246

a).in the sample of thyroid cancer the proportion of children with an estimated thyroid dose in the <0.30 gy interval is:- (61/123)

in the sample of without thyroid cancer the proportion of children with an estimated thyroid dose in the <0.30 gy interval is:-   (78/123)

b).null hypothesis:the proportion across the three dose intervals are same for both the population.

alternative hypothesis:the proportion across the three dose intervals are different across the two population.

c).the expected cell count of children with an estimated thyroid dose in the <0.30 gy in the sample with thyroid cancer is:- 69.50

d).the contribution of the first row and first column is:- 1.040

e).the value of test statistic:- 5.169 ~ 5.2

f).because the value of degree of freedom for the chi-square test is:- 2

g).accept the null hypothesis.

you can not conclude that the proportion across the three dose intervals are different.

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