Parameter and the statistic in situation


1. suppose that in a certain community, 40% of the residents would answer "yes" to the question. " do you know the names of at least five other people who live on your block?" suppose you plan to take a random sample of 100 people from this community and calculate the proportion of people in your sample whose response to this question is "yes".

a) what are the parameter and the statistic in this situation?

b)what does the sampling distribution of the statistic describe?

C) what does it mean to say that the statistic in this case is a unbiased estimator of the parameter?

D) suppose that in a much larger community, 40% of the residents would also answer "yes" to the question. if you took a sample of 100 individuals from this much larger community, would the sampling distribution of the statistic be different? in what way?

E) if you took a sample of 50 individuals instead of 100 from the original community, would the sampling distribution of the statistic change? in what way?

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Basic Statistics: Parameter and the statistic in situation
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