Question

The pesticide diazinon is commonly used to treat infestations of the german cockroach, blattella germanica. A study investigated the persistence (as measured by percent of pests killed) of this pesticide on various types of surfaces. Researchers applied a 0.5% emulsion of diazinon to glass and plasterboard surfaces. After 14 days, they placed 36 randomly chosen cockroaches on each surface and recorded the number that died within 48 hours. On glass, 14 cockroaches died, while on plaster board, 26 died.

Is there a significant evidence to show that diazinon performs better on the plasterboard surface compared to glass? carry out an appropriate test with a=0.05 by showing the 4 steps to help you answer your question.

Answer 1

The hypothesis being tested is:

H0: p1 = p2

Ha: p1 < p2

p1	p2	pc
0.3889	0.7222	0.5556	p (as decimal)
14/36	26/36	40/72	p (as fraction)
14.	26.	40.	X
36	36	72	n
	-0.333	difference
	0.	hypothesized difference
	0.1171	std. error
	-2.85	z
	.0022	p-value (one-tailed, lower)

The p-value is 0.0022.

Since the p-value (0.0022) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that diazinon performs better on the plasterboard surface compared to glass.

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