Question
Jan Villaroel
Topic: Statistics Posted 11 months ago
An article summarizes results from a survey of 450 participants. The article reported that 79% of the 450 survey participants said that they

An article summarizes results from a survey of 450 participants. The article reported that 79% of the 450 survey
participants said that they had made up an excuse not to attend an online meeting just because they didn't feel like
attending (the most popular excuse was internet problems). If p̂ = 0.79 is used as an estimate of the proportion of
working adults who have made up an excuse not to attend an online meeting, is it likely that this estimate is within
0.05 of the actual population proportion? Use what you know about the sampling distribution of p̂ to support your
answer.

We know the sampling distribution of p̂ will be centered at the ________ , and the
standard deviation of this distribution can be estimated as _________ . . In addition, the sampling
distribution is _______


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Koala Tutor
Jan 19, 2024
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We know the sampling distribution of p̂ will be centered at the population proportion p, and the standard deviation of this distribution can be estimated as sqrt((p(1-p))/n), where p is the population proportion and n is the sample size. In addition, the sampling distribution is approximately normal for large sample sizes (n ≥ 30) due to the Central Limit Theorem.

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Kevin
Jan 19, 2024
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We know the sampling distribution of p̂ will be centered at the population proportion, 𝘱 , and the
standard deviation of this distribution can be estimated as 0.0192 . In addition, the sampling distribution is approximately normal

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