Teaching Assistants' Stipends A random sample of stipends of teaching assistants in economics is listed. Is there sufficient evidence at the a= 0.05.level to conclude that the average stipend differs from $15,000? The stipends listed (in dollars) are for the academic year. Use the P-value method. Assume the variable normally distributed. Use a TI-83 Plus/TI-84 Plus calculator. #3(8.3) 12,283 13,185 13,419 14,356 12,000 17,604 11,981 14,000 14,000 (a) State the hypotheses and identify the claim. Hou $ 15000 not claim H₁:u= $ 15000 claim = This hypothesis test is a two-tailed Y test. Pvalue= Reject null? Hypothesis

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Numb 3 Round pvalue to at least 4 dec values .underline it please . Say whether you reject null hypothesis and whether theres is evidence to support it.
**Teaching Assistants' Stipends: Hypothesis Testing**

A random sample of stipends of teaching assistants in economics shows the following data:

- $12,283
- $13,185
- $13,419
- $14,356
- $12,000
- $17,604
- $11,981
- $14,000
- $14,000

The question posed is whether there is sufficient evidence at the \(\alpha = 0.05\) level to conclude that the average stipend differs from $15,000. The stipends listed (in dollars) are for an academic year. Use the P-value method and assume the variable is normally distributed. A TI-83 Plus/TI-84 Plus calculator is recommended for this analysis.

**Steps in Hypothesis Testing:**

(a) **State the hypotheses and identify the claim:**

- Null Hypothesis (\(H_0\)): \(\mu = \$15,000\) (not claim)
- Alternative Hypothesis (\(H_1\)): \(\mu \ne \$15,000\) (claim)

This hypothesis test is a two-tailed test.

**P-value:**

- Calculate and determine the P-value using the sample data.

**Decision:**

- Based on the P-value, determine whether to "Reject the null hypothesis" or not.

This educational exercise demonstrates the steps involved in conducting hypothesis testing, focusing on the importance of the P-value in statistical decision-making. The use of TI calculators for computational support is highlighted for practical application.
Transcribed Image Text:**Teaching Assistants' Stipends: Hypothesis Testing** A random sample of stipends of teaching assistants in economics shows the following data: - $12,283 - $13,185 - $13,419 - $14,356 - $12,000 - $17,604 - $11,981 - $14,000 - $14,000 The question posed is whether there is sufficient evidence at the \(\alpha = 0.05\) level to conclude that the average stipend differs from $15,000. The stipends listed (in dollars) are for an academic year. Use the P-value method and assume the variable is normally distributed. A TI-83 Plus/TI-84 Plus calculator is recommended for this analysis. **Steps in Hypothesis Testing:** (a) **State the hypotheses and identify the claim:** - Null Hypothesis (\(H_0\)): \(\mu = \$15,000\) (not claim) - Alternative Hypothesis (\(H_1\)): \(\mu \ne \$15,000\) (claim) This hypothesis test is a two-tailed test. **P-value:** - Calculate and determine the P-value using the sample data. **Decision:** - Based on the P-value, determine whether to "Reject the null hypothesis" or not. This educational exercise demonstrates the steps involved in conducting hypothesis testing, focusing on the importance of the P-value in statistical decision-making. The use of TI calculators for computational support is highlighted for practical application.
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