Chapter Definitions

Chapter Definitions - by chance.” It is the probability...

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STAT 110 Chapter 22 Definitions The claim or assumption being tested is called the null hypothesis such as: H 0 : p = 0.50 The null hypothesis is the status quo. It has the = sign. The statement we are looking for evidence of is called the alternative hypothesis. Three possible alternate hypotheses for the above null hypothesis are: 1) H a : p < 0.50 or 2) H a : p>0.50 or 3) H a : p is not equal to 0.50 The alternative hypothesis is the experimental hypothesis. The p-value is the probability that we would see a statistic at least as extreme as the one observed if the null hypothesis was true. α is the significance level . It is how rare something needs to be before we say it is “not likely to happen just

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Unformatted text preview: by chance.” It is the probability we are willing to risk that we say H is false when it is really true. If the p-value is less than α then we have statistically significant evidence against the null hypothesis. General Procedure (1) Set up hypothesis statement (2) Set Level of Significance ( α ) (3) Gather the Data (4) Calculate the p-value (5) Draw your conclusion Possible Conclusions: We have significant evidence against the null hypothesis in favor of the alternative hypothesis. (p-value ≤ α = we reject H ) -or- We do not have significant evidence against the null hypothesis. (p-value > α = we fail to reject H )...
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This note was uploaded on 02/10/2011 for the course STAT 110 taught by Professor Johnson during the Spring '07 term at South Carolina.

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Chapter Definitions - by chance.” It is the probability...

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