In: Math
I want to find out what the undergraduate student body thinks about the move to Division I sports, which will involve higher student fees to support the athletic program. Every evening I go to Library Walk and I ask everyone who passes by whether or not they support the move to Division I, and get 1050 responses. From this data, I calculate the proportion that support moving to Division I. I find that only 25% of those surveyed support the move to D1.
Can I construct a 95% confidence interval for the overall level of support for this change to D1 sports? Why or why not?
Sorry , I forgot to write in the last equation.
The value of depends upon the alternative hypothesis. Whether the test is a two tailed test ( i.e. Alternative hypothesis includes ) then the will have the value 1.96 and if the alternate hypothesis is of the form (> or <) i.e the test is one tailed the will have the value 1.64.
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