Which of the following is the correct p-value for this test? b) Formulate the correct conclusions for this test given the results above. Is the researcher correct?

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a) Which of the following is the correct p-value for this test? b) Formulate the correct conclusions for this test given the results above. Is the researcher correct?
**Scenario**: A researcher believes that food servers in her city who are women earn less than food servers who are men. She surveys food servers in her city and finds that among a random sample of 32 women, the mean yearly salary was $37,800 with a standard deviation of $1,000. The mean salary for a random sample of 41 men was $38,600 with a standard deviation of $1,300. Conduct a hypothesis test to assess the researcher’s claim. Let α = 0.01.
Transcribed Image Text:**Scenario**: A researcher believes that food servers in her city who are women earn less than food servers who are men. She surveys food servers in her city and finds that among a random sample of 32 women, the mean yearly salary was $37,800 with a standard deviation of $1,000. The mean salary for a random sample of 41 men was $38,600 with a standard deviation of $1,300. Conduct a hypothesis test to assess the researcher’s claim. Let α = 0.01.
**Question:** Which of the following is the correct *p-value* for this test?

- ○ .01 > p > .001
- ○ .05 > p > .02
- ○ .20 > p > .10
- ● .02 > p > .01

The correct answer is marked as option four, where the p-value falls between 0.02 and 0.01.
Transcribed Image Text:**Question:** Which of the following is the correct *p-value* for this test? - ○ .01 > p > .001 - ○ .05 > p > .02 - ○ .20 > p > .10 - ● .02 > p > .01 The correct answer is marked as option four, where the p-value falls between 0.02 and 0.01.
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