Life on Other Planets Forty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 100 randomly selected individuals and found 40 believed that there is life on other planets. At a = 0.01, is there sufficient evidence to conclude that the percentage differs from 46%? Use the P-value method with tables. Do not round intermediate steps. Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: p= 46 not claim H₁: p= 46 claim Alternate Answer: This hypothesis test is a two-tailed Part: 1/5 ▼ Ho:p=0.46 not claim H₁: p=0.46 claim This hypothesis test is a two-tailed test. Part 2 of 5 ▼ X test. Compute the test value. Always round z score values to two decimal places.

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Part 3. Compute test value Part 4. Find p value
**Life on Other Planets**

Forty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 100 randomly selected individuals and found 40 believed that there is life on other planets. At \( \alpha = 0.01 \), is there sufficient evidence to conclude that the percentage differs from 46%? Use the P-value method with tables. Do not round intermediate steps.

**Part 1 of 5**

_State the hypotheses and identify the claim with the correct hypothesis._

- \( H_0: p = 0.46 \) (not claim)
- \( H_1: p \neq 0.46 \) (claim)

This hypothesis test is a **two-tailed** test.

**Alternate Answer:**

- \( H_0: p = 0.46 \) not claim
- \( H_1: p \neq 0.46 \) claim

This hypothesis test is a two-tailed test.

**Part 2 of 5**

_Compute the test value. Always round Z score values to two decimal places._

\[ z = \boxed{} \]

**Progress Bar:**

- Part 1/5 completion indicator showing progress through the task.

There are no graphs or diagrams included in this section.
Transcribed Image Text:**Life on Other Planets** Forty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 100 randomly selected individuals and found 40 believed that there is life on other planets. At \( \alpha = 0.01 \), is there sufficient evidence to conclude that the percentage differs from 46%? Use the P-value method with tables. Do not round intermediate steps. **Part 1 of 5** _State the hypotheses and identify the claim with the correct hypothesis._ - \( H_0: p = 0.46 \) (not claim) - \( H_1: p \neq 0.46 \) (claim) This hypothesis test is a **two-tailed** test. **Alternate Answer:** - \( H_0: p = 0.46 \) not claim - \( H_1: p \neq 0.46 \) claim This hypothesis test is a two-tailed test. **Part 2 of 5** _Compute the test value. Always round Z score values to two decimal places._ \[ z = \boxed{} \] **Progress Bar:** - Part 1/5 completion indicator showing progress through the task. There are no graphs or diagrams included in this section.
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