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test of significance is defined as |
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whether an observed difference is real or just a chance variation |
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what is a null hypothesis |
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a statement about the box that represents a population (example is the average of the box equals 50). |
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what is the alternative hypothesis |
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a statement about the box like "the average of the box does equals 50" |
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null says the difference is |
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the alternative says the difference is |
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what does test statistic Z = (observed - expected)/SE do? |
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it measures the difference between the data and what is expected in the box with null hypothesis being true. If given the SD, use the information to compute SE in the denominator. If not given the SD, estimate it from the data. |
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P-value of the statistic means |
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Definition
on the basis of the null hypothesis is being right, the chance of getting a test statistic as extreme or more extreme than the observed statistic is computed. |
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a small P-value is a sign of what |
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Definition
that besides chance, certain other thing is acting on to make the difference |
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a low P-value for the statistical test points to what |
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Definition
to rejection of the null hypothesis because it indicates how unlikely it is for a test statistic as extreme as or more extreme than the one given by this data to be observed from this population if theull hyposthesis is true. |
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when the sample is below 25 we don't use the Z test. what test do we use? |
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Null says the hypothesis is real or chance |
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the equals sign will only appear in the null statement true or false |
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when the sample is below 25 we use what formula |
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if the sample is larger than 25 we use what formula |
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