Question

39. Suppose a researcher wants to test the hypothesis that p = 0.37 versus the alternative that p ≠ 0.37 using data from a random sample of 29 people.  We calculate the standardized test statistic to be 1.84.  Which of the following best describes the p-value?

	a.	0.025 < p-value < 0.05
	b.	0.05 < p-value < 0.10
	c.	p-value = 0.9671
	d.	p value = 0.0658
	e.	p-value = 0.0329

Answer 1

solution

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H0 : p =0.37

Ha : p $\neq$ 0.37

Test statistic = z =1.84

P(z >1.84 ) = 1 - P(z <1.84 ) = 1-0.9671=0.0329

P-value = 2*0.0329=0.0658