Chapter 11.2, Problem 48E

(a)

To determine

To clarify: the explanation is meaningless. Then create a right two-way table that displays the experiment outcomes.

Answer to Problem 48E

Independent requirement has been not met.

Explanation of Solution

Given:

  

In this table, 32 participants from the treatment are not given full details. Group and 23 of the observed experimental group. So, the use of Chi-square makes no sense. The above-mentioned table exam.

The below is the product of the two-way table from the previous experiment:

	Treatment	Control	Total
After 1 month	19	1	20
After 2 months	6	2	8
After 2 months don't get rid of	7	20	27
Total	32	23	55

(b)

To determine

Explaining: the explanation why it is not acceptable to use the right two-way table with a chi-square test in that situation.

Answer to Problem 48E

Not proven to satisfy the random criterion.

Explanation of Solution

Given:

  

Formula used:

  $\text{Expected}\text{count=}\frac{\text{Raw}\text{Total×}\text{Column}\text{Total}}{\text{Table}\text{Total}}$

Calculation:

Expected count for any cell when $H_0$ is true is

For the expected count

  $\text{Expected}\text{count=}\frac{\text{Raw}\text{Total×}\text{Column}\text{Total}}{\text{Table}\text{Total}}$

	Treatment	Control	Total
After 1 month	$\frac{20\times 32}{55}=11.64$	$\frac{20\times 23}{55}=8.36$	20
After 2 months	$\frac{8\times 32}{55}=4.65$	$\frac{8\times 23}{55}=3.35$	8
After 2 months don't get rid of	$\frac{27\times 32}{55}=15.71$	$\frac{27\times 23}{55}=11.29$	27
Total	32	23	55

Since at least 5 are not all expectations. So, in this situation, a chi-square test should not be carried out.