consider what you know about the sampling distribution of the sample proportion. this sampling distribution ____

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16-12-2022
Mathematics

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consider what you know about the sampling distribution of the sample proportion. this sampling distribution ____

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Tutorconsortium706 Tutorconsortium706 · Answer 1 · 2022-12-20T07:12:07-05:00

The Sampling Distribution of Proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size 'n'.

What is the purpose of the sampling proportion?

Sampling is frequently used to calculate the percentage of a population that possesses a certain attribute, such as the percentage of all faulty goods that come off an assembly line or the percentage of all customers that enter a store and make a purchase before leaving.

The population proportion is the mean of all sample proportions (p-hat) when repeated random samples of a certain size n are collected from a population of values for a categorical variable, where the proportion in the category of interest is p. (p). The sample size times the likelihood of success for each trial yields np, which is the mean of the sampling distribution of a sample proportion (or observation). The chance of success for each trial is p, and it is the mean of the sampling distribution of a sample fraction (or observation).

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