Question

Take your survey data and code the gender question as Male=0 and Female=1. Suppose we hypothesize that women are more likely to respond to surveys than men are. Specifically, we believe that more than 55 percent of all respondents are women (this equates to the proportion of the gender variable to be greater than 0.55). Use the methods learned this week to test these hypotheses. Total participants are 50. No of males responded are 24. No of females responded are 26

Make sure you go through the 6-step process of testing the hypothesis.

Present your results and discuss why you rejected, or failed to reject the null hypothesis.

Answer 1

Take your survey data and code the gender question as Male=0 and Female=1. Suppose we hypothesize that women are more likely to respond to surveys than men are. Specifically, we believe that more than 55 percent of all respondents are women (this equates to the proportion of the gender variable to be greater than 0.55). Use the methods learned this week to test these hypotheses. Total participants are 50. No of males responded are 24. No of females responded are 26

Make sure you go through the 6-step process of testing the hypothesis.

Present your results and discuss why you rejected, or failed to reject the null hypothesis.

One sample proportion test used

Ho: P=0.55, H₁: P>0.55

Upper tail test

Let level of significance: 0.05

Table value of z at 0.05 level = 1.645 (upper tail value)

Rejection Region: Reject Ho if z > 1.645

p=26/50=0.52

= -0.4264

Calculated z = -0.4264 , not in the rejection region

The null hypothesis is not rejected.

There is not sufficient evidence to support that more than 55 percent of all respondents are women.