Question

Are women more likely than men to practice vegetarianism? Students in three statistics classes were randomly selected and asked whether they had ever been vegetarians and here are the results of that survey:

vegetarian not vegetarian

women 19 45

men 11 31

a) Find the numbers of women and men (x) who say they are now or were once vegetarians, and also the total number of women and men each sample.

xw = nw =

xm =   nm =

b) Write the null and alternative hypotheses: H0 : Ha :

c) Use your calculator to run a Two-Proportion Z-Test (#6 on the test menu) to test your hypotheses.

z = P-value =

d) Based on a significance level of 0.05, what is your decision and what conclusion can you draw in terms of this problem?

Answer 1

a)

xw = 19, nw = 19+45 = 64

xm = 11, nm = 11+31 = 42

b)

Let p1 shows the proportion of women who practice vegetarianism and p2 shows the proportion of men who practice vegetarianism.

Hypotheses are

c)

Following is screen shot of calculator after entering data:

Following is the screen shot of calculator after selecting calculate:

The test statistics is

z = 0.39

The p-value is

p-value = 0.3479

d)

Since p-value is greater than 0.05 so fail to reject the null hypothesis. There is no evidence to conclude that women are more likely than men to practice vegetarianism.