Suppose the Humane Society claims that 30% of U.S. households own cats. You believe your community is different than the U.S. percentage. To test the claim, you take a simple random sample of 300 households and find that 38% own cats. Test at 10% significance. Round to the fourth Ho: P HA: P How many successes were there? Test Statistic: P-value: = Or .30 .30 OF Did something significant happen? Significance Happened Select the Decision Rule: Reject the Null There is enough evidence to conclude that the proportion of households that own cats in your community is different than the national proportion.

MATLAB: An Introduction with Applications
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Suppose the Humane Society claims that 30% of U.S. households own cats. You believe your community is different than the U.S. percentage. To test the claim, you take a simple random sample of 300 households and find that 38% own cats. Test at 10% significance.

**Hypotheses:**

- Null Hypothesis (H₀): \( p = 0.30 \)
- Alternative Hypothesis (Hₐ): \( p \neq 0.30 \)

**How many successes were there?** 

- (Not filled in, but can be calculated as 38% of 300, which is 114 successes.)

**Test Statistic:** 

- (Not provided in the image.)

**P-value:** 

- (Not provided in the image.)

**Did something significant happen?**

- Significance happened

**Select the Decision Rule:**

- Reject the Null

**Conclusion:**

There is enough evidence to conclude that the proportion of households that own cats in your community is different than the national proportion.
Transcribed Image Text:Suppose the Humane Society claims that 30% of U.S. households own cats. You believe your community is different than the U.S. percentage. To test the claim, you take a simple random sample of 300 households and find that 38% own cats. Test at 10% significance. **Hypotheses:** - Null Hypothesis (H₀): \( p = 0.30 \) - Alternative Hypothesis (Hₐ): \( p \neq 0.30 \) **How many successes were there?** - (Not filled in, but can be calculated as 38% of 300, which is 114 successes.) **Test Statistic:** - (Not provided in the image.) **P-value:** - (Not provided in the image.) **Did something significant happen?** - Significance happened **Select the Decision Rule:** - Reject the Null **Conclusion:** There is enough evidence to conclude that the proportion of households that own cats in your community is different than the national proportion.
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