Testing if 40% of Kentuckians Prefer Popcorn

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SUMMARY

This discussion focuses on testing whether 40% of Kentuckians prefer popcorn as their movie snack. A random sample of 100 moviegoers revealed that 55 chose popcorn, leading to the null hypothesis (Ho: m = 0.40) and the alternative hypothesis (Ha: m ≥ 0.40). The sample size is 100, with a sample mean of 55. The discussion emphasizes the need to check normality conditions and correctly formulate the hypotheses for a two-tailed test.

PREREQUISITES
  • Understanding of hypothesis testing
  • Knowledge of null and alternative hypotheses
  • Familiarity with normality conditions in statistics
  • Basic statistical concepts such as sample size and sample mean
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  • Learn about hypothesis testing in statistics
  • Study normality tests and their applications
  • Explore two-tailed hypothesis tests
  • Review how to calculate p-values and confidence intervals
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Students in statistics courses, educators teaching hypothesis testing, and anyone interested in understanding statistical analysis related to consumer preferences.

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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 <)