STA 2023 Lecture Notes - Lecture 2: Central Limit Theorem, Binomial Distribution, Statistic

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harlequinmacaw509

11 Mar 2019

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Document Summary

What sampling distribution do we use if we have quantitative data? quantitative. What sampling distribution do we use if we have categorical data? qualitative. What does p-hat estimate in a sample proportion? population proportion. What is the purpose of a sampling distribution? see the pattern when we take many samples and compute the sample statistic for each. Why are statistics random variables? they come from random samples. What is the distribution of a statistic called? sampling distribution. Does p-hat have a binomial distribution? never. What is the mean of the distribution of p-hat? p. What is the standard error of the distribution of p-hat? sq rt (p(1-p)/n) Conditions for sampling distribution of p-hat p 15 and n(1-p) 15. What represents the true proportion of successes in the entire population (a parameter)? p. What represents the proportion of successes computed for the sample (a statistic or estimator)? p-hat.

Related Questions

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes larger

(d) becomes negative.

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportion

(b) The population proportion

(d) The population mean

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(d) the z distribution must be used to obtain the critical value.