Question 1199533: A researcher believes that female stray cats are more cautious when approaching people than male cats. He knows that the stray cat population is 50% male and 50% female. In order to test this, visits 15 different areas where stray cats live and records the gender of the first cat to approach him. He finds that 13 of the 15 cats that approach him are male. Using a sign test:
E) What should he conclude
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! **E) Conclusion**
Based on the sign test, **there is some evidence to suggest that male stray cats are more likely to approach people than female stray cats.**
**Explanation:**
* **Null Hypothesis (H0):** There is no difference in the tendency of male and female stray cats to approach people.
* **Alternative Hypothesis (H1):** Male stray cats are more likely to approach people than female stray cats.
* **Observed Data:** 13 out of 15 cats that approached were male.
* **Expected Data (under the null hypothesis):** If there's no difference, we'd expect an equal number of male and female cats to approach (7.5 males and 7.5 females).
* **Sign Test:**
* We compare the observed number of "successes" (male approaches) to the expected number.
* In this case, we have more male approaches than expected under the null hypothesis.
* **Conclusion:** The observed data provides some evidence against the null hypothesis. However, it's important to note that the sample size is relatively small (15 cats), and the statistical significance of this result might be limited.
**Further Considerations:**
* **Statistical Significance:** To determine the statistical significance of the observed difference, a more formal statistical test (such as a binomial test) would be necessary.
* **Limitations:** This study has limitations. For example, it only considers the first cat to approach in each area, which might not be representative of the overall behavior of stray cats in those areas.
* **Other Factors:** Other factors, such as the specific characteristics of the researcher (e.g., appearance, behavior), the time of day, and the environment of each location, could also influence which cats approach.
**In summary:**
While the observed data suggests that male stray cats might be more likely to approach people, further research with a larger sample size and more controlled conditions is needed to draw stronger conclusions.
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