Question

In 2014, the General Social Survey asked a respondents if they felt that science makes our lives healthier, easier and more comfortable. For men, 81.9% agreed and for women, 81.4% agreed. What is the point estimate of the difference in the population proportion of men and women who agreed?

Answer 1

Answer:

estimate of the difference =   0.5%

Explanation:

given data

men agreed p1 = 81.9%

women agreed p2 = 81.4%  

solution

we get here point estimate of the difference in the population proportion that is

estimate of the difference is = p1 - p2   .................1

estimate of the difference = 81.9%  -  81.4%  

estimate of the difference = 0.819 - 0.814

estimate of the difference =   0.005

estimate of the difference =   0.5%

Answer 2

Answer:

The point estimate of the difference in the population proportion of men and women who agreed is 0.005.

Explanation:

In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.  

The point estimate of the population mean (µ) is the sample mean ($\bar x$).

Similarly the point estimate of population proportion (p) is the sample proportion ($\hat p$).

In this case we need to estimate the point estimate of the difference in the population proportion of men and women who agreed.

The point estimate of the difference in the population proportion of men and women who agreed will be the difference between the sample proportions.

The sample proportion of men who agreed that they felt science makes our lives healthier, easier and more comfortable is,

$\hat p_{m}=0.819$

The sample proportion of women who agreed that they felt science makes our lives healthier, easier and more comfortable is,

$\hat p_{w}=0.814$

Compute the difference between the two sample proportions as follows:

$\hat p_{m}-\hat p_{w}=0.819-0.814=0.005$

Thus, the point estimate of the difference in the population proportion of men and women who agreed is 0.005.