Remember that with hypothesis testing, we always begin with a set of two competing hypotheses. We have a hypothesis that puts forward the claim that is being tested about the population. We call this hypothesis the __________________ hypothesis. We then have a hypothesis that illustrates what we think is really going on in the population. We call this hypothesis the ______________________hypothesis. Using appropriate symbols, our hypotheses in this example are as follows: Ho: p = 0.40 Ha: p < 0.40 Look carefully at the hypotheses presented above. What does the symbol “p” stand for in these hypotheses? Notice that in the second hypothesis presented above, the “<” sign is used. Why is a “<” sign being used as opposed to either a “>” sign or a “≠” sign?

Null and alternative hypotheses: Null hypothesis: The null hypothesis is a statement that indicates…

Answered: Remember that with hypothesis testing,…

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Section8.6: Counting Principles

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Remember that with hypothesis testing, we always begin with a set of two competing hypotheses. We have a hypothesis that puts forward the claim that is being tested about the population. We call this hypothesis the __________________ hypothesis. We then have a hypothesis that illustrates what we think is really going on in the population. We call this hypothesis the ______________________hypothesis.

Using appropriate symbols, our hypotheses in this example are as follows:

H_o: p = 0.40

H_a: p < 0.40

Look carefully at the hypotheses presented above. What does the symbol “p” stand for in these hypotheses?

Notice that in the second hypothesis presented above, the “<” sign is used. Why is a “<” sign being used as opposed to either a “>” sign or a “≠” sign?

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