Question

Given the altered polio data presented below:         

Treatment	Total Patients	# with Polio
Vaccine	4,000	44
Placebo	4,000	73

            If you’re trying to prove that the vaccine is effective (lower incidence of polio with the vaccine like the class discussion), what’s your test statistic and your conclusion at the 1% level of significance?

	a.	T test = -2.364 and fail to reject the null
	b.	F test = 0.553 and fail to reject the null
	c.	Z test = -2.364 and reject the null
	d.	T test = 2.364 and fail to reject the null
	e.	Z test = -2.701 and reject the null

Answer 1

The null and alternate hypothesis are:

H0:

Ha:

The test statistic is given by:

Since this is a left-tailed test, so the p-value is given by:

Since p-value is less than 0.01, so we have sufficient evidence to reject the null hypothesis
H0.

Hence option E.