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Problem 8 Easy Difficulty

A survey question for a sample of 150 individuals yielded 75 Yes responses, 55 No responses, and 20 No Opinions.
a. What is the point estimate of the proportion in the population who respond Yes?
b. What is the point estimate of the proportion in the population who respond No?

Answer

a. 0.5
b. 0.3667

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Video Transcript

All right. So this question wants us to develop a point estimate for a survey of 150 people where 75 answered Yes, 55 Answer. No, and 25 gave no response. So part eh wants us to find the point estimate for the proportion of successes in the population. So we're looking for P hat or P bar, depending on what you say. Which equals number of yeses over number of Total, which in this case, there's 75 yeses and there's 150 people total, which gives us a P hat value off 0.5. Then Part B wants the sample proportion of failures or no responses. So this time we're looking for Q hat, which is equal to the number of no response over the total. And if we look, there were 55 no responses over 150 total, and that works out to be a 0.3667 And remember