Sample 1 has 17 "yes" responses out of 97 in the sample, sample 2 has "yes" 46 responses out of 131 responses in the sample. Calculate the point estimate for the difference between the population proportions of "yes" responses.

Tobias Ali

Tobias Ali

Answered question

2021-01-31

Sample 1 has 17 "yes" responses out of 97 in the sample, sample 2 has "yes" 46 responses out of 131 responses in the sample. Calculate the point estimate for the difference between the population proportions of "yes" responses.

Answer & Explanation

averes8

averes8

Skilled2021-02-01Added 92 answers

Given that Sample 1 has 17 "yes" responses out of 97 responses in the sample, and Sample 2 has 46 "yes" responses out of 131 responses in the sample.
We need to calculate the point estimane for the difference between the population proportions of "yes" responses.
Point estimate: We define p is the point estimate for population proportions.
p=x/need where x is the number of successes and n is the population size.
Now, for the Sample 1 the point estimate for the population proportion is
p1=x/n=17/97=0.17525
and for the Sample 2 the point estimate for the population proportion is
p2=x/n=46/131=0.35114
Therefore, the point estimate for the difference between the population proportion of "yes" responses is
p=p1p2=0.175250.35114=0.17589

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