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Year Ohio Missouri Oregon 2008 450 507 374 2009 448 509 375 2010 448 513 377 2011 442 511 387 2012 441 513 374 2013

Year

Ohio

Missouri

Oregon

2008

450

507

374

2009

448

509

375

2010

448

513

377

2011

442

511

387

2012

441

513

374

2013

447

519

380

2014

444

522

387

2015

450

527

380

2016

449

532

377

Average

447

517

379

The average number of prisoners per state in the US between 2007 and 2016 is 424 with a standard deviation of 60. The total number of prisoners per year in Ohio, Missouri, and Oregon are presented in Table 1. Your goal is to find if the average number of prisoners in the US between 2008 and 2016 is different than the average number of prisoners in the state of the following question.

Table 1. Average number of prisoners per 100,000 people

Answer the following about Oregon. Ensure you are using a negative sign if applicable, and round to the nearest hundredth. Your alpha value is .05.

1. Whiat correct null and research hypothesis for this question?

Null hypothesis:

Research hypothesis:

Calculate the test statistic by hand using the following equations:

Input the test statistic here:

What is the most likely p-value for your calculated test statistic? You do not need R for this answer. Input the letter you believe is correct.

  1. >.05
  2. <.05
  3. Cannot be determined

4. What is your interpretation of your results? Input the letter here:

  1. With 95% confidence we fail to reject the null that the sample mean number of prisoners per 100,000 in Oregon per year is equal to the mean number of prisoners per 100,000 per year in the US
  2. With 95% confidence we reject the null that the sample mean number of prisoners per 100,000 in Oregon per year is equal to the mean number of prisoners per 100,000 per year in the US
  3. With 95% confidence we accept the null that the sample mean number of prisoners per 100,000 in Oregon per year is equal to the mean number of prisoners per 100,000 per year in the US
  4. We cannot make an interpretation.

5.What is the effect size/Cohen's D forOregon? Use the following equation and round your answer to the nearest hundredth.

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