WK3Assgn+Holts+A.PUBH6033(extension)

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Jan 9, 2024

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WK 2 Assignment: Probability Distribution Angel Holts Walden University September 19, 2022

Explain why increasing the sample size decreased the variability in the interactive media piece. Increasing the sample size decreases the variability. The number of studies used for the estimated populations is known as the sample size or sample mean. The gathering of the sample size will represent the number of people in a given distribution. According to Dr. Morrow, when a more significant quantity represents N, the standard error of the mean (M) will decrease. The central limit theorem will allow for a normal distribution (2014). The normal distribution on a graph will represent a bell curve. The standard deviation of the means is the standard error, measuring the difference between the sample mean and population means (Morrow et al., 2014). One wants the sample size n to be large so that the SE of M will be small. The smaller the SE of M, the more likely the sample mean will be similar to the population. Explain how frequency is used to inform probability and why this is important. Include the relevance of p-values as it concerns probability and the relationship with frequency distributions. How often something occurs in several events is known as frequency, and probability deals with different outcomes (Gerstman et al., 2015). Frequency is used to inform probability because it can tell one the number of times something happened concerning the number of times it could have happened (Gerstman et al., 2015). The old elementary example is rolling a six-sided die six times and predicting an event, such as rolling a 2 or 3. Probability or p-value is a number between null and one (0 and 1), measuring that something will or will not happen. P-values are used in hypothesis testing to help decide whether to reject the null hypothesis; null (0) means not to occur, and one means it is sure to occur (Bevans et al., 2022). If the null hypothesis is

rejected, it is usually due to a small p-value (Bevans et al., 2022). Conflicting statistics and recognition of a numerical model are what p-values can identify. Reference: Bevans, R. (2022, July 9). The p-value explained. Scribbr. Retrieved September 18, 2022, from https://www.scribbr.com/statistics/p-value/#:~:text=The%20p-value%2C%20or%20probability %20value%2C%20tells%20you%20how,calculated%20by%20a%20statistical%20test%20using %20your%20data. Gerstman, B. B. (2015). Basic biostatistics: Statistics for public health practice (2nd ed.). Burlington, MA: Jones & Bartlett Learning.

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