A B C D 12 20 10 10 32856 24 18 a.) State the researcher's null and alternative hypotheses (using symbols OR everyday language) b.) Is this a one or a two-tailed test? c.) Find the critical value (alpha = .05) I

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**Research Scenario and Statistical Analysis**

A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows from previous research that women generally score higher levels of anxiety.

The hypothesis predicted whether anxiety scores would be raised or lowered. Participants were given an anxiety test before and after listening to the political debate. Below are the data for four participants:

| Participant | Time 1 (X₁) | Time 2 (X₂) |
|-------------|------------|-------------|
| A           | 20         | 24          |
| B           | 22         | 26          |
| C           | 10         | 12          |
| D           | 18         | 20          |

**Questions:**

a) State the researcher's null and alternative hypotheses (using symbols OR everyday language).

b) Is this a one or a two-tailed test?

c) Find the critical value (alpha = .05).

d) Compute the observed test statistic (remember to show your work).

e) Based on the information above, what is your statistical conclusion?
Transcribed Image Text:**Research Scenario and Statistical Analysis** A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows from previous research that women generally score higher levels of anxiety. The hypothesis predicted whether anxiety scores would be raised or lowered. Participants were given an anxiety test before and after listening to the political debate. Below are the data for four participants: | Participant | Time 1 (X₁) | Time 2 (X₂) | |-------------|------------|-------------| | A | 20 | 24 | | B | 22 | 26 | | C | 10 | 12 | | D | 18 | 20 | **Questions:** a) State the researcher's null and alternative hypotheses (using symbols OR everyday language). b) Is this a one or a two-tailed test? c) Find the critical value (alpha = .05). d) Compute the observed test statistic (remember to show your work). e) Based on the information above, what is your statistical conclusion?
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Step 1

It is given that the researcher gathers a sample of size n = 4 and gives these participants an anxiety test before and after listening to the political debate.

 

 

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