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28 Cards in this Set
- Front
- Back
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What is a one sample t test for the mean |
A hypothesis test of significance |
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When do we use one sample t tests for the mean |
To test a claim concerning a population |
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What is the purpose of hypothesis testing |
Not to provide proof, but to determine if there is enough evidence to accept or reject the null hypothesis |
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What are the three steps of a one sample t test for the mean |
1. Id parameter, choose correct hypothesis test, verify assumptions with conditions, define independent variables, state null and alternative hypotheses
2. Calculate the test statistic and find p-value value
3. Interpret results |
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Symbol for null hypothesis |
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Symbol for alternative hypothesis |
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What must a null hypothesis always include |
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What are null hypotheses written in terms of? |
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Write the null hypothesis with symbols |
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Alternative hypothesis can be one or two sided |
Info |
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Write symbols for a one sided Ha |
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Write the symbols for a two sided Ha |
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There are two assumptions for a hypothesis test |
Info |
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What is assumption 1 |
Individuals are independent |
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What are the conditions for assumption 1 |
Size of SRS is less than ten percent of the population size |
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What is assumption two |
The population is normal |
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Meet one of the three conditions for assumption 2 to be true |
1. Given a normally distributed population 2. Graph the data and it appears normally distributed 3. Sample is large enough, greater than or equal to thirty, to assume it is normally distributed |
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What is the mathematical definition of the test statistic for a one sample t procedure |
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What is the p-value used for |
Used to determine if we accept it reject the null hypothesis |
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What is the p-value |
The probability of obtaining a sample statistic as extreme or more extreme than the one we have obtained, given that the null hypothesis is true |
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The smaller the p-value |
The more evidence we have to reject the null hypothesis |
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E.g. if we use a t distribution and set the confidence level to 95 and calculate the t statistic then calculate the P value.... |
E.g. |
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If the p-value is one tailed |
Eg |
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What is the equation for the left tail |
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What is the equation of the right tail |
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If two tailed what is the equation for both tails |
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What do you compare the P value to |
The (alpha-level) where 1-(alpha-level)= confidence level |
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We talked about P values in terms of the |
(alpha-level) term |
