Probability and Statistics - Brief summary of the article, including the source
JayLQue
Sample2Project.docx3
Statistics Research Final Report
Liberty University
Introduction to Probability & Statistics: Math 201-D03
Statistics Research Final Report
According to the article written by Jordan Friedman U.S. News, the ability to earn an online degree for working adults is possible. In this study, data concluded that the average age of online students was 32 years of age, and the majority of these learners are working adults. The article also classifies the learner into groups based on major and by gender, military affiliation, and geographic location. In response to this article, data was taken from the population of all online students; the sample is the class size of 21 students; normal and t-distribution statistics were calculated. The statistical claim for this project is that 32 years old is the average age of online students and males make up 35% of this claim. Using the T-distribution for the age of online students, the null hypothesis is u=32, and the alternate hypothesis is u is not equal to 32. Using the normal distribution for the population proportion of male online students, the null hypothesis is u = 0.35, and the alternate hypothesis is u is not equal to 0.35.
The claim that the average age of online students is 32 was tested using the class sample collected from the online students in the Intro to Probability and Statistics class section D03. This sample mean was compared to the population statistic given in the article above . Using normal distribution, the age frequency of class age was calculated. The mean of this class is 33.57, the median is 32, and the standard deviation is 8.53. The lower quartile is 28 and the upper quartile is 39. The 95% confidence interval for the average age of online students is 29.69 < u < 37.45. This interval validates 95% confidence that the mean age of online college students is between 26.69 and 37.45. Following the confidence testing, the hypothesis test was conducted using the T-test statistic and the alpha =0.05 level of confidence. The calculated test statistic was 0.84 with a p-value of 0.409. Since P > 0.05 and Ho at alpha = 0.05, this claim is not rejected. There is not enough evidence to conclude that the average age of online students is 32 years old at alpha = 0.05.
The claim regarding the population proportion of online male students is 35% was tested using the class statistic x =0.35, n = 21, p = 0.0167. The 95% confidence interval for the proportion of male online college students is 0.1732 < u < 0.5888. This interval validates 95% confidence that the proportion of male online college students is between 0.1732 and 0.5888. Following the confidence testing, a hypothesis test using normal distribution 1-Prop Z test and the alpha = 0.05 level of confidence was performed. The calculated test statistic was -3.19 with a p-value of 0.7642. Since P > 0.05 and Ho at alpha = 0.05, this claim is not rejected. At the alpha = 0.05 level of significance, there is not enough evidence to conclude that the percentage of males in online classes differs from 35%.
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References
Friedman, J. (2017, April 4). U.S. News Data: The Average Online Bachelor's Student. Retrieved December 6, 2020, from https://www.usnews.com/higher-education/online-education/articles/2017-04-04/us-news-data-the-average-online-bachelors-student
