Packer Analysis Essay

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One Proportion: How does the proportion of female packers supporters at Ripon College compare to the proportion of female packer supporters in Green Bay?
Our research strives to explore the comparison of female support for the Green Bay Packers football team at Ripon College, and female support of the Packers in all of Green Bay Wisconsin. The City, Green Bay, seemed to be an interesting city to pull data from. Being Green Bay is the home of the Green Bay Packers. The purpose of this study is not to compare women to men; instead, we are simply examining the female populations of these two samples to determine the observed difference between them.
Our data on the statistics of Green Bay population, illustrated in Figure 1, was taken from a chart in Forbes Magazine titled The Top 10 NFL Local Markets of Female Fans (Settimi 2). This data states that out of the total population of females in Green Bay Wisconsin, 80% support the Packers team. Based on the 2010 census data taken from Green Bay 52,698 individuals in Green Bay, were female (US Census 2010). By multiplying this number by the proportion, we determined that about 42,158 women in Green Bay support the Packers. We want to know if this percentage applies to students at Ripon …show more content…
Using data such as; a sample size of n=29, a count of 18, and a sample proportion of success of p̂=0.6207, we calculated a p-value of 0.0158, and a standardized statistic of z= -2.41. Assuming our null hypothesis is true, if we repeat the study many times, we will observe a statistic as or more extreme than .6207 about 1.58% of the time. The observed statistics 0.6207 is 2.41 standard deviations above the hypothesized parameter value of 0.8. The p-value is between 0.01 and 0.05, meaning that we have strong evidence against our null hypothesis. Our z-score, being 2 < | -2.41|, also confirms that there is strong evidence against our null
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