An Office of Admission document claims that 55.6% of UVA undergraduates are female. To test this claim, a random sample of 205 UVA undergraduates was selected. In this sample, 55.4% were female. Is there sufficient evidence to conclude that the document's claim is false? Is the percent of undergraduate females different from what is claimed? Carry out a hypothesis test at a 9% significance level. A. The value of the standardized test statistic (give to at least 3 decimal places): B. The p-value is (give to 4 decimal places) C. Your decision for the hypothesis test: O A. Do Not Reject Ho- OB. Reject H1 OC. Do Not Reject H1. OD. Reject Ho-

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### Hypothesis Testing Example

An Office of Admission document claims that 55.6% of UVA undergraduates are female. To test this claim, a random sample of 205 UVA undergraduates was selected. In this sample, 55.4% were female. Is there sufficient evidence to conclude that the document's claim is false? Is the percent of undergraduate females different from what is claimed? Carry out a hypothesis test at a 9% significance level.

#### Steps for the Hypothesis Test

**A. Calculate the standardized test statistic:**  
Enter the value with at least 3 decimal places.

**B. Determine the p-value:**  
Provide the p-value to 4 decimal places.

**C. Decision for the hypothesis test:**  
- **A. Do Not Reject \( H_0 \)**
- **B. Reject \( H_1 \)**
- **C. Do Not Reject \( H_1 \)**
- **D. Reject \( H_0 \)**

In this example, the decision selected is **A. Do Not Reject \( H_0 \)**, indicating that there is not enough evidence to reject the claim that 55.6% of UVA undergraduates are female at a 9% significance level.
Transcribed Image Text:### Hypothesis Testing Example An Office of Admission document claims that 55.6% of UVA undergraduates are female. To test this claim, a random sample of 205 UVA undergraduates was selected. In this sample, 55.4% were female. Is there sufficient evidence to conclude that the document's claim is false? Is the percent of undergraduate females different from what is claimed? Carry out a hypothesis test at a 9% significance level. #### Steps for the Hypothesis Test **A. Calculate the standardized test statistic:** Enter the value with at least 3 decimal places. **B. Determine the p-value:** Provide the p-value to 4 decimal places. **C. Decision for the hypothesis test:** - **A. Do Not Reject \( H_0 \)** - **B. Reject \( H_1 \)** - **C. Do Not Reject \( H_1 \)** - **D. Reject \( H_0 \)** In this example, the decision selected is **A. Do Not Reject \( H_0 \)**, indicating that there is not enough evidence to reject the claim that 55.6% of UVA undergraduates are female at a 9% significance level.
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