An education publication claims that the mean expenditure per student in public

Question

An education publication claims that the mean expenditure per student in public elementary and secondary schools is at least exist10, 200. You want to test this claim. You randomly select 16 school districts and find the average expenditure per student The results are listed below a. State the claim. b. Give the null hypothesis and the alternate hypothesis. H_0: H_a: C. At alpha = 0.01. do you have enough evidence to reject the publication's claim? Give a P-value or standardized test statistic to justify your answer. A polling agency claims that 40% of adults shop for a gift within a week of an event. In a random survey of 2730 people in the US. 1130 said they shop for a gift within a week of an event a. State the claim. b. Give the null hypothesis and the alternate hypothesis. H_0: H_a: c. At alpha = 0.01. do you have enough evidence to reject the agency's claim? Give a P-value or standardized test statistic to justify your answer.

Explanation / Answer

Use 1-Sample t to compute a confidence interval and perform a hypothesis test of the mean when the population standard deviation, is unknown. For a one-sample t,

a] claim is that the mean expenditure per students in public elementory and secondary schools is at least $10200.

b]    H0: m = 10200 versus   H1: m 10200

where m is the population mean and 10200 is the hypothesized population mean.

c] at 0.01, yes here p-value is 0.987 > alpha = 0.01

by decision rule we failed to reject null hypothesis at alpha = 0.01.

At alpha = 0.01, the given claim is rejected. that is he mean expenditure per students in public elementory and secondary schools is not at least $10200.

Used MINITAB for test one sample t- test

Choose Stat > Basic Statistics > 1-Sample t.

In Samples in columns, enter Expendeture.

Check Perform hypothesis test. In Hypothesized mean, enter 10200.

Click Options. In Confidence level, enter 99. Click OK in each dialog box

Session window output

One-Sample T: Expenditure

Test of mu = 10200 vs > 10200

                                            99% Lower
Variable    N    Mean    StDev   SE Mean    Bound      T         P
Expenditure    16     9896      491           123        9576 -2.48    0.987

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