The null and alternative hypotheses for a population proportion, as well as the sample results, are given. Use StatKey or other technology to generate a randomization distribution and calculate a p-value. StatKey tip: Use "Test for a Single Proportion" and therm "Edit Data" to enter the sample information. Round the p-value to three decimal places. p-value= e Textbook and Media Hypotheses: Ho: p= 0.6 vs Ha:p> 0.6; 52 Sample data: p = = 0.65 with n = 80 80

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The image provides instructions for conducting a hypothesis test for a population proportion using statistical software. Below is a transcription with explanatory details suitable for an educational website:

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**Hypothesis Testing for a Population Proportion**

To determine if the true proportion of a population exceeds a certain value, follow the steps outlined below using statistical technology.

**Hypotheses:**

- Null hypothesis (H₀): \( p = 0.6 \)
- Alternative hypothesis (Hₐ): \( p > 0.6 \)

**Sample Data:**

- Sample proportion (\( \hat{p} \)): 52 out of 80, which equals 0.65.
- Sample size (\( n \)): 80

**Instructions:**

1. **Generate a Randomization Distribution:**
   Use software such as StatKey to simulate the sampling distribution of the sample proportion under the null hypothesis.

2. **Calculate the p-value:**
   The p-value represents the probability of observing a sample proportion as extreme as 0.65, or more, under the assumption that the null hypothesis is true.

3. **StatKey Tip:**
   Select "Test for a Single Proportion" and input the sample information using the "Edit Data" function.

**Task:**

- Round the p-value to three decimal places.
- Input your answer in the p-value box provided.
- You have two attempts to submit your answer for evaluation.

**Note:** A lower p-value indicates stronger evidence against the null hypothesis in favor of the alternative hypothesis.

**Interactive Elements:**

- **Submit Answer Button:** After entering your p-value prediction.
- **Attempts Count:** Displays the number of attempts used.

Ensure to review the use of statistical software tools to comprehend hypothesis testing thoroughly. For additional help, consult the "eTextbook and Media" section.

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Transcribed Image Text:The image provides instructions for conducting a hypothesis test for a population proportion using statistical software. Below is a transcription with explanatory details suitable for an educational website: --- **Hypothesis Testing for a Population Proportion** To determine if the true proportion of a population exceeds a certain value, follow the steps outlined below using statistical technology. **Hypotheses:** - Null hypothesis (H₀): \( p = 0.6 \) - Alternative hypothesis (Hₐ): \( p > 0.6 \) **Sample Data:** - Sample proportion (\( \hat{p} \)): 52 out of 80, which equals 0.65. - Sample size (\( n \)): 80 **Instructions:** 1. **Generate a Randomization Distribution:** Use software such as StatKey to simulate the sampling distribution of the sample proportion under the null hypothesis. 2. **Calculate the p-value:** The p-value represents the probability of observing a sample proportion as extreme as 0.65, or more, under the assumption that the null hypothesis is true. 3. **StatKey Tip:** Select "Test for a Single Proportion" and input the sample information using the "Edit Data" function. **Task:** - Round the p-value to three decimal places. - Input your answer in the p-value box provided. - You have two attempts to submit your answer for evaluation. **Note:** A lower p-value indicates stronger evidence against the null hypothesis in favor of the alternative hypothesis. **Interactive Elements:** - **Submit Answer Button:** After entering your p-value prediction. - **Attempts Count:** Displays the number of attempts used. Ensure to review the use of statistical software tools to comprehend hypothesis testing thoroughly. For additional help, consult the "eTextbook and Media" section. ---
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