Question

The market researchers at Barton’s pizza are interested in the proportion of male customers and female customers that would be willing to try a new pizza. Random samples of 176 males and 124 females were randomly selected. Responses were recorded as Yes (i.e. interested) or No (i.e. not interested) and are listed as variables MalesInterested (1) and FemalesInterested (2). The samples indicated that 91 males and 59 females respectively were interested in trying a new pizza. Test that the proportion of male customers interested exceeds the proportion of female customers interested. Use a significance level of α= 0.05 for the test. The MS Excel output is shown below.

Z Test for Two Proportions
	MalesInterested	FemalesInterested
Sample Proportion	0.517045	0.475806
Number of Observations	176	124
Ho:XXXX	Ha:XXXX
Z*	0.703469
P[Z > Z*] one-tail	0.240882
Z Critical, α = 0.05	XXXX

What is the null hypothesis for the test??

Group of answer choices

Ho: p1 ≤ p2

Ho: p1 ≠ p2

Ho: p1 < p2

Ho: p1 > p2

Ho: p1 = p2

Answer 1

Solution :

Given that,

This is the right tailed test .

The null hypothesis is ,

Ho: p1 ≤ p2