attached statistics project need answered

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? ( Adapted from National Center for Education Statistics)

$11,947       $13,562       $13,082      $11,640       $12,250       $13,428 $12,679       $12,552       $13,346      $12,069      $12,862        $11,853 $12,489       $12,667       $12,770      $12,556      $12,468        $12,674

1. .Hypothesis

· State the claim

· State the null Hypothesis

· State the Alternative Hypothesis

· Describe the two types of error possible in a hypothesis test decision.

2. Finding P-Values and Rejection Regions

· Identify the type of test you are going to conduct.

· What is the level of significance that you are going to use to test your Hypotheses?

· Calculate the test statistic and its corresponding standardized test statistics.  What is/are the rejection zone(s)

· Find the P-value

3. Interpret the decisions.

· What is your decision concerning your Null Hypotheses?

· Write a statement to interpret the decision in the context of the original claim.