Question

Use the data in Problem 1:

	Percent Wound Healing
Treatment	0-25%	26-50%	51-75%	76-100%
New Compound (n=125)	15	37	32	41
Placebo (n=125)	36	45	34	10

and pool the data across the treatments into one sample of size n= 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution: 30%, 40%, 20%, and 10% and a= 0.05 to run the appropriate test.

	Percent Wound Healing
Treatment	0-25%	26-50%	51-75%	76-100%	Total
Number of Patients	51	82	66	51	250

Answer 1

pool the data across the treatments into one sample of size n= 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution: 30%, 40%, 20%, and 10% and a= 0.05 to run the appropriate test.

	Percent Wound Healing
Treatment	0-25%	26-50%	51-75%	76-100%	Total
Number of Patients	51	82	66	51	250

Goodness of Fit Test
	observed	expected	O - E	(O - E)² / E
	51	75.000	-24.000	7.680
	82	100.000	-18.000	3.240
	66	50.000	16.000	5.120
	51	25.000	26.000	27.040
Total	250	250.000		43.080
	43.08	chi-square
	3	df
	0.0000	p-value

Calculated chi square =43.08

DF=4-1=3

Critical Chi square value at 0.05 level =7.815

Calculated chi square =43.08 > 7.815 the table value.

The null hypothesis is  rejected.

We conclude the data is different from the given distribution.