Null hypothesis and alternate hypotheses

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rainbow1
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express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer
 
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rainbow said:
express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer

Hi rainbow,

So with hypothesis testing we usually aim for an argument from contradiction, which means we assume the thing we want to disprove as a starting point. What is the claim that we want to disprove? This would be the null hypothesis.