MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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## Hypothesis Testing: Federal Taxes Perception

A headline read, "More Than Half of Americans Say Federal Taxes Too High." The headline was based on a random sample of 1023 adult Americans in which 534 stated the amount of federal tax they have to pay is too high. Is this an accurate headline? Assume the α = 0.01 level of significance.

### Identifying Hypotheses
Identify the null and alternative hypotheses for this test:

**A.**  
\[ H_0: p > 0.50 \]  
\[ H_1: p = 0.50 \]

**B.**  
\[ H_0: p = 0.50 \]  
\[ H_1: p > 0.50 \]

**C.**  
\[ H_0: p \neq 0.50 \]  
\[ H_1: p = 0.50 \]

**D.**  
\[ H_0: p = 0.50 \]  
\[ H_1: p < 0.50 \]

**E.**  
\[ H_0: p = 0.50 \]  
\[ H_1: p \neq 0.50 \]

**F.**  
\[ H_0: p < 0.50 \]  
\[ H_1: p = 0.50 \]

### Statistical Test
Calculate the test statistic for this hypothesis test:

\[ z = \_\_\_\_ \] (Round to two decimal places as needed.)

### P-value Calculation
Determine the P-value for this hypothesis test:

\[ \text{P-value} = \_\_\_\_ \] (Round to three decimal places as needed.)

### Conclusion Statement
State the conclusion for this hypothesis test:

\[ \boxed{\text{Select}} \] \( H_0: \boxed{\text{Select}} \) \( \text{ sufficient evidence at the } \alpha = 0.01 \text{ level of significance to conclude that } \boxed{\text{(Select)}} \text{ of Americans say that federal taxes are too high.} \)

Boxes to be filled in include drop-down selections for the nature and strength of the evidence regarding public perception on federal taxes. 

A visual representation might be a table where each hypothesis pairing is clearly listed next to a radio button to be selected by the user, followed by the boxes for input
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Transcribed Image Text:## Hypothesis Testing: Federal Taxes Perception A headline read, "More Than Half of Americans Say Federal Taxes Too High." The headline was based on a random sample of 1023 adult Americans in which 534 stated the amount of federal tax they have to pay is too high. Is this an accurate headline? Assume the α = 0.01 level of significance. ### Identifying Hypotheses Identify the null and alternative hypotheses for this test: **A.** \[ H_0: p > 0.50 \] \[ H_1: p = 0.50 \] **B.** \[ H_0: p = 0.50 \] \[ H_1: p > 0.50 \] **C.** \[ H_0: p \neq 0.50 \] \[ H_1: p = 0.50 \] **D.** \[ H_0: p = 0.50 \] \[ H_1: p < 0.50 \] **E.** \[ H_0: p = 0.50 \] \[ H_1: p \neq 0.50 \] **F.** \[ H_0: p < 0.50 \] \[ H_1: p = 0.50 \] ### Statistical Test Calculate the test statistic for this hypothesis test: \[ z = \_\_\_\_ \] (Round to two decimal places as needed.) ### P-value Calculation Determine the P-value for this hypothesis test: \[ \text{P-value} = \_\_\_\_ \] (Round to three decimal places as needed.) ### Conclusion Statement State the conclusion for this hypothesis test: \[ \boxed{\text{Select}} \] \( H_0: \boxed{\text{Select}} \) \( \text{ sufficient evidence at the } \alpha = 0.01 \text{ level of significance to conclude that } \boxed{\text{(Select)}} \text{ of Americans say that federal taxes are too high.} \) Boxes to be filled in include drop-down selections for the nature and strength of the evidence regarding public perception on federal taxes. A visual representation might be a table where each hypothesis pairing is clearly listed next to a radio button to be selected by the user, followed by the boxes for input
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