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Chapter 1: Q T1.13. (page 81)

A study among the Pima Indians of Arizona investigated the relationship between a mother鈥檚 diabetic status and the appearance of birth defects in her children. The results appear in the two-way table below.

(a) Fill in the row and column totals in the margins of the table.

(b) Compute (in percentages) the conditional distributions of birth defects for each diabetic status.

(c) Display the conditional distributions in a graph. Don鈥檛 forget to label your graph completely.

(d) Comment on any clear associations you see.

Short Answer

Expert verified

Part (a)

Birth defectsNondiabeticPrediabeticDiabeticTotal
None754362381154
One or more3113953
Total785375471207

Part (b)

Birth defectsNondiabeticPrediabeticDiabeticTotal
None65%31%3%100%
One or more58%25%17%100%
Total65%31%4%100%

Part (c)

Part (d) There is a non-diabetic relationship with no birth defects.

Step by step solution

01

Part (a) Step 1: Given information

The table is given






Birth defectsNondiabeticPrediabeticDiabeticTotal
None75436238
One or more31139
Total



02

Part (a) Step 2: Concept

Data analysis is the systematic application of statistical and/or logical tools to explain and show, condense and recap, and appraise data.

03

Part (a) Step 3: Explanation

The table is

Birth defectsNondiabeticPrediabeticDiabeticTotal
None754362381154
One or more3113953
Total785375471207
04

Part (b) Step 1: Explanation

The table is

Birth defectsNondiabeticPrediabeticDiabeticTotal
None65%31%3%100%
One or more58%25%17%100%
Total65%31%4%100%
05

Part (c) Step 1: Explanation

The graph is

06

Part (d) Step 1: Explanation

It is clear from the graph plot that there is no diabetic link with no birth abnormalities.

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