What is one tail test? A two tail test? When are theyused? Formulate hypotheses

Question

What is one tail test? A two tail test? When are theyused? Formulate hypotheses for these situations. Whatare the Type I and Type II errors and their consequences? Youare tesing a new weight loss process. What you want to proveis that people lose weight using the new process. You want toprove that a new engine design uses less fuel than others in itsclass. What is the null and alternate hypothese in a drug test (testto see if a person is using an illegal drug) What is the falsepositive? False negative? Which is a Type I error? Type IIerror? What is one tail test? A two tail test? When are theyused? Formulate hypotheses for these situations. Whatare the Type I and Type II errors and their consequences? Youare tesing a new weight loss process. What you want to proveis that people lose weight using the new process. You want toprove that a new engine design uses less fuel than others in itsclass. What is the null and alternate hypothese in a drug test (testto see if a person is using an illegal drug) What is the falsepositive? False negative? Which is a Type I error? Type IIerror?

Explanation / Answer

Null hypothesis: There is no evidence that newengine design uses less fuel than others in its class Alternatiev Hypothesis: There is an evidencethat new engine design uses less fuel than others in itsclass Since in the hypothesis less than symbol isthere, therefore this is a single tailed test and it is lefttailed. If actually there is no evidence that newengine design uses less fuel than others in its class then if wereject the null hypothesis then it is called type-Ierror If actually there is an evidence that newengine design uses less fuel than others in its class tghen if weaccept the null hypothesis then it is called type-IIerror

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