Chapter 5, Problem 5.1AYK

(a)

To determine

To analyse; the two way table of Peanut allergies among infants in Western countries.

Answer to Problem 5.1AYK

The two table of given data is

	Avoided Peanuts	Consumed Peanuts
Allergic	18	5
Non-Allergic	33	42
Total	51	47

Explanation of Solution

Given;

the no: of infants not exposed to peanuts = 51

no: of infants allergic to peanuts who were not exposed to peanuts = 18

the no: of infants exposed to peanuts = 47

no: of infants allergic to peanuts who were exposed to peanuts = 5

Calculation;

The two table of given data is

	Avoided Peanuts	Consumed Peanuts
Allergic	18	5
Non-Allergic	33	42
Total	51	47

  $$

(b)

To determine

To calculate; how many infants this data represent and how many of them were not exposed to peanuts.

Answer to Problem 5.1AYK

Total no: of infants in the data

  =51+47

  =98

Total no: of infants that avoided peanuts

  =51

Explanation of Solution

Given;

	Avoided Peanuts	Consumed Peanuts
Allergic	18	5
Non-Allergic	33	42
Total	51	47

Calculation;

Total no: of infants in the data

  =51+47

  =98

Total no: of infants that avoided peanuts

  =51

(c)

To determine

To calculate; the marignal distribution peanut allergy both as counts and percents.

Answer to Problem 5.1AYK

The marginal distribution as count is:

	Avoided Peanuts	Consumed Peanuts	Total
Allergic	18/98	5/98	23/98
Non-Allergic	33/98	42/98	75/98
Total	51/98	47/98	98/98

The marginal distribution as percentage is:

	Avoided Peanuts	Consumed Peanuts	Total
Allergic	18.37%	5.10%	23.47%
Non-Allergic	33.67%	42.86%	76.53%
Total	52.04%	47.96%	100.00%

Explanation of Solution

Given;

	Avoided Peanuts	Consumed Peanuts
Allergic	18	5
Non-Allergic	33	42
Total	51	47

Calculation;

The marginal distribution as count is:

	Avoided Peanuts	Consumed Peanuts	Total
Allergic	18/98	5/98	23/98
Non-Allergic	33/98	42/98	75/98
Total	51/98	47/98	98/98

The marginal distribution as percentage is:

	Avoided Peanuts	Consumed Peanuts	Total
Allergic	18.37%	5.10%	23.47%
Non-Allergic	33.67%	42.86%	76.53%
Total	52.04%	47.96%	100.00%