a myopenmath.com You wish to test the following claim at a significance level of a = 0.005. Ho:p = 0.73 H1:p > 0.73 You obtain a sample of size 493 in which there are 376 successful observations. What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)

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You wish to test the following claim at a significance level of \(\alpha = 0.005\).

\[
H_0: p = 0.73 \\
H_1: p > 0.73
\]

You obtain a sample of size 493 in which there are 376 successful observations.

What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)

[Text Box]

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

[Text Box]

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 conclude that the population proportion is greater than 0.73.
- ∘ there is not sufficient evidence to conclude that the population proportion is greater than 0.73.
- ∘ there is sufficient evidence to conclude that the population proportion is equal to 0.73.
- ∘ there is not sufficient evidence to conclude that the population proportion is equal to 0.73.

**Question Help:** [Message instructor]
Transcribed Image Text:You wish to test the following claim at a significance level of \(\alpha = 0.005\). \[ H_0: p = 0.73 \\ H_1: p > 0.73 \] You obtain a sample of size 493 in which there are 376 successful observations. What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.) [Text Box] What is the p-value for this sample? (Report answer accurate to 4 decimal places.) [Text Box] 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 conclude that the population proportion is greater than 0.73. - ∘ there is not sufficient evidence to conclude that the population proportion is greater than 0.73. - ∘ there is sufficient evidence to conclude that the population proportion is equal to 0.73. - ∘ there is not sufficient evidence to conclude that the population proportion is equal to 0.73. **Question Help:** [Message instructor]
### Hypothesis Testing Example

This is an example of a hypothesis testing problem.

**Hypotheses:**

- \( H_0: p = 0.3 \)
- \( H_1: p \neq 0.3 \)

**Sample Information:**

- Based on a sample of 70 people, 31% owned cats.

**Statistical Information:**

- The test statistic is calculated as 1.537 (to 3 decimal places).
- The positive critical value given is -2.33 (to 2 decimal places). Note: This seems incorrect as critical values for hypothesis tests are typically positive or matched with corresponding negative values, depending on the test type.

**Decision:**

Based on these calculations, the decision is to:

- Fail to reject the null hypothesis.

If you have questions or need further clarification, you can contact your instructor by clicking the "Message instructor" link.

After reviewing, you can submit your response using the "Submit Question" button.
Transcribed Image Text:### Hypothesis Testing Example This is an example of a hypothesis testing problem. **Hypotheses:** - \( H_0: p = 0.3 \) - \( H_1: p \neq 0.3 \) **Sample Information:** - Based on a sample of 70 people, 31% owned cats. **Statistical Information:** - The test statistic is calculated as 1.537 (to 3 decimal places). - The positive critical value given is -2.33 (to 2 decimal places). Note: This seems incorrect as critical values for hypothesis tests are typically positive or matched with corresponding negative values, depending on the test type. **Decision:** Based on these calculations, the decision is to: - Fail to reject the null hypothesis. If you have questions or need further clarification, you can contact your instructor by clicking the "Message instructor" link. After reviewing, you can submit your response using the "Submit Question" button.
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