A local radio station claims that 54% of the population who listen to radio broadcast are listening to their station. After collecting 250 samples randomly, they found out that only 67 of them listen to the said radio station. Test the validity of the claim. Use 0.05 level of significance.
A local radio station claims that 54% of the population who listen to radio broadcast are listening to their station. After collecting 250 samples randomly, they found out that only 67 of them listen to the said radio station. Test the validity of the claim. Use 0.05 level of significance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A local radio station claims that 54% of the population who listen to radio
broadcast are listening to their station. After collecting 250 samples randomly,
they found out that only 67 of them listen to the said radio station. Test the
validity of the claim. Use 0.05 level of significance.
Steps
Solution
1. Formulate the hypotheses: thenull
hypothesis and the alternative
hypothesis.
2. Set the significance level for a.
3. Compute the z-statistic.
4. Decision: Compare the computed
value of z with thecritical value.
5. Conclusion](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdff8025-432c-46ec-8629-74893a8d7c59%2Fa91d592c-fd20-47a5-9b1f-1fddd1daadb7%2Fcdyw1nr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A local radio station claims that 54% of the population who listen to radio
broadcast are listening to their station. After collecting 250 samples randomly,
they found out that only 67 of them listen to the said radio station. Test the
validity of the claim. Use 0.05 level of significance.
Steps
Solution
1. Formulate the hypotheses: thenull
hypothesis and the alternative
hypothesis.
2. Set the significance level for a.
3. Compute the z-statistic.
4. Decision: Compare the computed
value of z with thecritical value.
5. Conclusion
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