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the survey received 42 responses in total beginning from July 23rd to August 13th. To analyze the data better, the google form responses were converted into an excel sheet, where statistical analysis was performed

In this survey, data regarding sleep on normal school nights was compared to that of sleep on afternoon half days. On half days, school is held normally except morning classes are not attended, allowing students to go to school significantly later. By isolating the 2 variables that are in question, an association that links the 2 would indicate that they have significant effects on one another, in this case, it would be the relation of school start times and sleep. To determine association between the amount of sleep and later start times for students, a chi squared test for independence was conducted on the dataset. The null hypothesis (H0) would be that there is no association between the amount of sleep and what day it is, half day or school night The alternative hypothesis (HA) is that there is an association between the amount of sleep and what day it is. The alpha level used is in accordance to standard practice, �� = 0.05.

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To be able to implement a chisquared test for association, the samples must be randomly sampled, be less than 10% of the total population, and have expected counts greater than 5 Because the survey was voluntary, the results were not randomly sampled To fulfill the conditions of simple random sampling, 35 samples of all responses were randomly chosen using a random number generator. After reconfirming that expected counts are larger than 5, the modified data will be analyzed using a high-grade web application for chi-squared test for association.

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