SOLUTION: Outcomes: State the null and alternative hypothesis. Identify possible type I and type II errors. Identify the nature of a hypothesis test. Find and use P-Values or rejection regio

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Question 980631: Outcomes: State the null and alternative hypothesis. Identify possible type I and type II errors. Identify the nature of a hypothesis test. Find and use P-Values or rejection regions for hypothesis testing. Interpret the decisions form the result of the hypothesis testing on the context of the original claim.
An education publication claims that the mean expenditure per student in public elementary and secondary schools is more than $ 12, 000. You want to test this claim. You randomly select 16 school districts and find the average expenditure per student. The result are listed below. At α=0.01, can you support the publication's claim? ( Assume the population is normally distributed.) ( Adapted from National Center for Education Statistics)
$11, 947 $13, 562 $13,082 $11640 $12, 250 $12, 679 $12, 552 $13,346 $12, 069 $12, 862 $12, 489 $12, 667 $12,770 $12, 556 $12, 468 $12, 674
1. Identify the claim and state the null and alternative hypothesis
2. Describe the two types of error possible in a hypothesis test decision.
3. Use technology to find the P-value
4. Decide whether to reject or fail to reject the null hypothesis
5. Interpret the decision in the context of the original claim.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Type I error: Rejection of the Null Hypothesis when it is indeed true.

Type II error: Failure to reject the Null Hypothesis when it is indeed false.

John

My calculator said it, I believe it, that settles it