Respuesta :
Rounded to three decimal places, the standard deviation of the sampling distribution of the sample proportion is 0.024.
What is the standard deviation?
The degree of variance or dispersion of a collection of numbers from the mean is measured by standard deviation. It is calculated as the square root of variance, which is the average of the squared deviations from the mean. A low standard deviation suggests that the values are close to the mean, whereas a high standard deviation suggests that the values are dispersed over a wider range. In many other disciplines, including finance and economics, standard deviation is frequently used to assess the risk or volatility of a particular dataset. It is also frequently used in statistics and probability theory. Due to its ability to objectively compare and contrast various values, it is a crucial statistic for comprehending and analyzing data.
How to solve?
sqrt( (population proportion * (1 - population proportion)) / sample size)
sqrt( (0.54 * (1 - 0.54)) / 31) = 0.024
Rounded to three decimal places, the standard deviation of the sampling distribution of the sample proportion is 0.024.
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