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Based upon our p-value of .0416, we were able to reject our null hypothesis of the proportion of hugs accepted at school being less than or equal to the proportion of hugs accepted at the mall. Due to this, our alternative hypothesis of hugs accepted at school being greater is successful at the 95% confidence level.
The data was collected by requesting a hug from every other person we saw (simple random sample), recording a Y if the recipient accepted the hug, or an N if it was denied. The female surveyor (Viola) and male surveyor (Erik) had their recipients separated upon gender in order to note differences between a male-male, male-female or female-female interaction.
We postulated that the proportion of those who were familiar (Antelope students at second lunch) would have a greater proportion of accepting a hug over those who were strangers (people at the Roseville Galleria).
We assumed that in order to test our hypothesis, we would offer a hug to those who we typically see on a daily basis at school, as opposed to people whom we’ve never met at a popular location, such as the Galleria.
In order to answer our question, we decided to collect data independently from Antelope students with second lunch and people at the Roseville Galleria mall on a Thursday evening.
Hypothesis Test (2-Proportion Z Test):
The following 2-Proportion Z hypothesis test was performed with the proportions collected from our data table and has been executed to the best of our knowledge at the 95% confidence level (alpha value: .05) with a successful rejection of the null hypothesis.