A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.

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A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.
Certainly! Below is the transcription formatted for an educational website:

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### Statistical Analysis Exercise: Evaluating Proportions

Select the correct answer below:

1. **There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20.**

2. **There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20.**

3. **There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.**

4. **There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.**

---

Note: This exercise aims to enhance your understanding of hypothesis testing in statistics, focusing on comparing proportions within a given population.
Transcribed Image Text:Certainly! Below is the transcription formatted for an educational website: --- ### Statistical Analysis Exercise: Evaluating Proportions Select the correct answer below: 1. **There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20.** 2. **There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20.** 3. **There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.** 4. **There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.** --- Note: This exercise aims to enhance your understanding of hypothesis testing in statistics, focusing on comparing proportions within a given population.
**Hypothesis Testing with Z-Statistic**

A tax accountant wants to test the claim that the proportion of individuals who owe taxes when filing is greater than 0.20. With a calculated z-test statistic of z = 1.94, we need to determine if there is enough evidence to reject the null hypothesis, assuming a significance level (α) of 0.05.

**Instructions:**

1. **Choosing the Test:**
   - Move the blue dot to select the appropriate test: left-tailed, right-tailed, or two-tailed based on the hypothesis.

2. **Graph and Analysis:**
   - The diagram on the right shows the significance levels: α = 0.01, α = 0.025, α = 0.05, and α = 0.1.
   - This graph is used to determine the test statistic's position and verify if it falls within the rejection region of the selected significance level.

Using this information, you can conclude whether there is enough evidence to reject the null hypothesis based on the p-value and the set significance level.
Transcribed Image Text:**Hypothesis Testing with Z-Statistic** A tax accountant wants to test the claim that the proportion of individuals who owe taxes when filing is greater than 0.20. With a calculated z-test statistic of z = 1.94, we need to determine if there is enough evidence to reject the null hypothesis, assuming a significance level (α) of 0.05. **Instructions:** 1. **Choosing the Test:** - Move the blue dot to select the appropriate test: left-tailed, right-tailed, or two-tailed based on the hypothesis. 2. **Graph and Analysis:** - The diagram on the right shows the significance levels: α = 0.01, α = 0.025, α = 0.05, and α = 0.1. - This graph is used to determine the test statistic's position and verify if it falls within the rejection region of the selected significance level. Using this information, you can conclude whether there is enough evidence to reject the null hypothesis based on the p-value and the set significance level.
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