Question: Answer the questions below in the spaces provided. Make sure to write answers using complete sentences where appropriate. Also, be sure to simplify all fractional
Answer the questions below in the spaces provided. Make sure to write answers using complete sentences where appropriate. Also, be sure to simplify all fractional answers.
1. The city government of a town wants to know whether the citizens will support a new law. A sample of 60 citizens is selected and 34 of the 60 support the new law. What is the point estimate? What is the approximate percent of the population that will support the law?
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2. A company plans to introduce a new logo but first needs to know whether it will be appealing to consumers. A sample of the population is selected at random. 73% of the sample like the new logo. Findpand use it to make a prediction aboutp.
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3. An airline needs to know the proportion of passengers who become fatigued when flying for 2 hours or longer. A sample of the population of 100 passengers is selected at random. For the passengers in the sample, 72 said that they are fatigued if a flight lasts 2 hours or more. Answer the following questions:
a. Find the point estimatep. Write the answer as a simplified fraction, a decimal, and a percent. If needed, round the decimal number to the hundredths place.
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b. Find the standard error for the sample proportion.
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c. Determine the 95% confidence interval for the results.
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d. Name one short-term and one long-term decision that might be made as a result of the study.
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4. An automobile manufacturer wants to know if buyers will be willing to pay extra for a new feature that can be installed with a vehicle. The head of research for the company randomly selects a sample of 200 people and finds that 58 are willing to pay extra. Answer the following questions:
a. What is the standard error of the sample?
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b. What is the 99% confidence interval for the sample proportion?
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c. Name one short-term and one long-term decision that might be made as a result of the study.
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