Testing if 40% of Kentuckians Prefer Popcorn

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Homework Statement



We want to test wheter 40% of Kentuckians prefer popcorn as their movie snack of choice. a randon smaple of 100 movie goers shows that 55 of tehm pick popcorn as their favorite movie snack. Check the normality conditions, state the hypothesis, and state your conclusions for a hypothesis test.

Homework Equations


Ho:
Ha:

The Attempt at a Solution



Ho:m=.40
Ha:m equal too or greater than .40
n=100
x bar =55

Im stuck and this is due tomorrow...
 
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i think your alternate hypothesis should be "2-tailed" i. (> OR <)
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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