You wish to test the following claim (Ha) at a significance level of a = 0.01. H,:p = 0.7 Ha:p + 0.7 You obtain a sample of size n = 356 in which there are 261 successful observations. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

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You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\). 

\[
H_0: p = 0.7 \\
H_a: p \neq 0.7
\]

You obtain a sample of size \(n = 356\) in which there are 261 successful observations.

**Questions:**

1. **What is the test statistic for this sample? (Report answer accurate to three decimal places.)**

   - Test statistic = [________]

2. **What is the p-value for this sample? (Report answer accurate to three decimal places.)**

   - P-value = [________]

**Options:**

The p-value is…

- ( ) less than (or equal to) \(\alpha\)
- ( ) greater than \(\alpha\)

**This test statistic leads to a decision to…**

- ( ) reject the null
- ( ) accept the null
- ( ) fail to reject the null

**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. 

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Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\). \[ H_0: p = 0.7 \\ H_a: p \neq 0.7 \] You obtain a sample of size \(n = 356\) in which there are 261 successful observations. **Questions:** 1. **What is the test statistic for this sample? (Report answer accurate to three decimal places.)** - Test statistic = [________] 2. **What is the p-value for this sample? (Report answer accurate to three decimal places.)** - P-value = [________] **Options:** The p-value is… - ( ) less than (or equal to) \(\alpha\) - ( ) greater than \(\alpha\) **This test statistic leads to a decision to…** - ( ) reject the null - ( ) accept the null - ( ) fail to reject the null **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. Website: myopenmath.com — Private
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