Question

Animal testing (1.1) “It is right to use animals for medical testing if it might save human lives.” The General Social Survey asked $1152$adults to react to this statement. Here is the two-way table of their responses:

Opinion about using animals for medical testing :

	Male	Female	Total
Strongly agree	$76$	$59$	$135$
Agree	$270$	$247$	$517$
Neither agree nor disagree	$87$	$139$	$226$
Disagree	$61$	$123$	$184$
Strongly disagree	$22$	$68$	$90$
Total	$516$	$636$	$1152$

a. Construct segmented bar graphs to display the distribution of opinion for males and for females. b. Is there an association between gender and opinion for the members of this sample? Explain your answer

Short answer

Hence there is no association between gender and opinion for this sample .

Step-by-step solution

Part (a) - Step 1 : Given Information - Survey includes1152 adults and we need to calculate their percentage weightage in order to draw the bar graph .

Part (a) - Explanation : We calculate percentage weightages after which we see their affect as a gender on the given data . After calculating data we derive a conclusion.

	Male	Female
Strongly Agree	$76/516=14.73\%$	$59/636=9.28\%$
Agree	$270/516=52.33\%$	$247/636=38.84\%$
Neither agree nor disagree	$87/516=16.86\%$	$139/636=21.86\%$
Disagree	$61/516=11.82\%$	$184/636=28.93\%$
Strongly disagree	$22/516=4.26\%$	$90/636=14.15\%$

Part (b) - Step 2 : Given - We now need to derive and think of the association .

Explanation : No, there is no association between gender and opinion but the data for women has wide range of dispersion . Over two-thirds of men agree or strongly agree with this statement, compared to slightly less than half of the women. The percentages who disagree or strongly disagree tell a similar story is $16\%$of men versus $30\%$of women.