You wish to test the following claim (Ha) at a significance level of a 0.02.

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This text is part of an educational exploration into hypothesis testing and statistical decision-making. It presents options for concluding statistical tests regarding a population proportion.

### Decision Based on Test Statistics:
- **This test statistic leads to a decision to…**
  - [ ] Reject the null
  - [ ] Accept the null
  - [ ] Fail to reject the null

### Final Conclusion:
- **As such, the final conclusion is that…**
  - [ ] There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.7.
  - [ ] There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.7.
  - [ ] The sample data support the claim that the population proportion is not equal to 0.7.
  - [ ] There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.7.

This exercise is designed to help students understand how to interpret test statistics and draw conclusions regarding population proportions.
Transcribed Image Text:This text is part of an educational exploration into hypothesis testing and statistical decision-making. It presents options for concluding statistical tests regarding a population proportion. ### Decision Based on Test Statistics: - **This test statistic leads to a decision to…** - [ ] Reject the null - [ ] Accept the null - [ ] Fail to reject the null ### Final Conclusion: - **As such, the final conclusion is that…** - [ ] There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.7. - [ ] There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.7. - [ ] The sample data support the claim that the population proportion is not equal to 0.7. - [ ] There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.7. This exercise is designed to help students understand how to interpret test statistics and draw conclusions regarding population proportions.
You wish to test the following claim ( \( H_a \) ) at a significance level of \( \alpha = 0.02 \).

\[
H_o: p = 0.7 \\
H_a: p \neq 0.7
\]

You obtain a sample of size \( n = 243 \) in which there are 154 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
\[ \text{test statistic} = \_\_\_ \]

What is the p-value for this sample? (Report answer accurate to four decimal places.)
\[ \text{p-value} = \_\_\_ \]
Transcribed Image Text:You wish to test the following claim ( \( H_a \) ) at a significance level of \( \alpha = 0.02 \). \[ H_o: p = 0.7 \\ H_a: p \neq 0.7 \] You obtain a sample of size \( n = 243 \) in which there are 154 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (Report answer accurate to three decimal places.) \[ \text{test statistic} = \_\_\_ \] What is the p-value for this sample? (Report answer accurate to four decimal places.) \[ \text{p-value} = \_\_\_ \]
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