6-1 Journal- Rejecting and Failing to Reject the Null Hypothesis PDF

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1 Riggs Kierra Riggs IHP – 340 Dr. Donna Ross October 11, 2020

6-1 Journal: Rejecting and Failing to Reject the Null Hypothesis

The difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis is that if the p-value > a, then we fail to reject the null hypothesis. On the other hand, if the p-value < or equal to a, then the null hypothesis is rejected, and the alternative hypothesis is accepted. The p-value of the hypothesis testing is the probability of observing the given sample results in case the null hypothesis is true. In a hypothesis test, we automatically assume that null hypothesis is true and then we try to find out the probability of obtaining the given sample results based on the null hypothesis. Afterwards, we can conclude that we have enough evidence to reject the null hypothesis. However, if this is not the case, then we fail to reject the null hypothesis and conclude that the sample results null hypothesis was true. From example, when considering likening the null and alternative hypothesis with regards to farming chickens. If you use the biological alternative hypothesis that a female chicken’s sexual selection is what makes male chickens have bigger feet and the statistical alternative hypothesis that male chickens foot size average is different than that of a female chicken. Then the hypothesis should be that if sexual selection favors bigger feet in male chickens. And the average foot size in male chickens should be larger than the average in females....