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Colorado State University Null and Alternative Hypotheses Discussion

Colorado State University Null and Alternative Hypotheses Discussion

Colorado State University Null and Alternative Hypotheses Discussion

I don’t understand this Statistics question and need help to study.

Read Example 1. Explain what your take a way from it. Make additions. Your document should be minimum 150 words. Please have credible references.

Example 1

The null hypothesis (H0) is a statement of fact that we work to disprove. Essentially the null hypothesis assumes that whatever your trying to prove, did not happen. The alternative hypothesis (Ha) is the opposite, we come up with this to try to explain a fact and reject the null hypothesis. (Stephanie, 2020) The null hypothesis always has an = sign within it, (H0: There are no more than 25 pieces of luggage that will fit in the overhead cabin of an airplane. p ? 25) The null hypothesis says that it is equal to or less than 25. The alternative hypothesis never has an equal symbol saying that the result is either greater than or less than in order to reject or accept the null hypothesis. (Ha: There are more than 25 pieces of luggage that will fit in the overhead cabin of an airplane. p > 25)

If we wanted to test how may hours of sleep I get on a nightly basis to being 8. The H0 would be that I get 8 hours of sleep while the Ha would be that I get either more or less than 8 hours of sleep. 8 would be the mean value. The argument would be: H0: 8 = 80; Ha: 8 ? 80

The probabilities of errors are called Type I and Type II. Type I error occurs when a true null hypothesis is rejected, it is noted by ?. A Type II error occurs when the null hypothesis is not rejected when it is false and is noted by ?. For example, the null hypothesis is that I get 8 hours of sleep. The Type I error results when the null hypothesis is rejected when in fact I do get 8 hours of sleep. The Type II error results when we do not reject the null hypothesis when I get more or less than 8 hours of sleep. (Illowsky, Dean, & O., 2013)

Illowsky, B., Dean, S., & O. (2013). Introductory Statistics (1st ed.). OpenStax. (9.1-9.6)

Stephanie, G. (2020, July 6). Hypothesis Testing. Statistics How To. https://www.statisticshowto.com/probability-and-statistics/hypothesis-testing/

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