Question

At 0.05 level of significance, is there evidence of a difference in proportion of DVD’s purchased on the basis of the sales strategy used?

Sales Approach
ACTION	DVD	Personal Sales Call	Telephone	Total
Purchase	19	27	14	60
Don’t Purchase	81	73	86	240
Total	100	100	100	300

b. At 0.01 level of significance, is there evidence of a difference in proportion of DVD’s purchased on the basis of the sales strategy used?                                       

Answer 1

The hypothesis being tested is:

H0: p1 = p2

Ha: p1 ≠ p2

p1	p2	pc
0.19	0.81	0.5	p (as decimal)
19/100	81/100	100/200	p (as fraction)
19.	81.	100.	X
100	100	200	n
	-0.62	difference
	0.	hypothesized difference
	0.0707	std. error
	-8.77	z
	0.00E+00	p-value (two-tailed)

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.01), we can reject the null hypothesis.

Therefore, we can conclude that there is a difference in proportion of DVD’s purchased on the basis of the sales strategy used.