Question
In: Math
In August 2003, 56% of all employed adults in the United States reported that basic mathematical...
In August 2003, 56% of all employed adults in the United States reported that basic mathematical skills were critical or very important to their job. A researcher believes that this proportion has increased, so a random sample of 480 employed adults was taken and 297 of them felt that basic mathematical skills are critical or very important to their job.
Be sure to check if the conditions are met, and show how you checked them - show ALL work.
1a) Is there sufficient evidence to conclude that the percentage of all employed adults who feel basic mathematical skills are critical or very important to their job has increased? Use a significance level of α =0.05.
whats your conclusion?
1b) Find a 90% confidence interval for the proportion of all employed adults in the United States who feel that basic mathematical skills are critical or very important to their job. State your answer in words:
1c) How large of a sample would be needed in order to have a margin of error E=3% and a confidence level of 98%? sample size n=?
Solutions
milcah answered 1 year agoRelated Solutions
In August 2003, 56% of employed adults in the United States reported that basic mathematical skills...
In August 2003, 56% of employed adults in the United States
reported that basic mathematical skills were critical or very
important to their job. The supervisor of the job placement office
at a 4-year college thinks this percentage has increased due to
increased use of technology in the workplace. He takes a random
sample of 530 employed adults and finds that 324 of them feel that
basic mathematical skills are critical or very important to their
job. Is there sufficient...
In August 2003, 56% of employed adults in the United States reported that basic mathematical skills...
In August 2003, 56% of employed adults in the United States
reported that basic mathematical skills were critical or very
important to their job. The supervisor of the job placement office
at a 4-year college thinks this percentage has increased due to
increased use of technology in the workplace. He takes a random
sample of 530 employed adults and finds that 324 of them feel that
basic mathematical skills are critical or very important to their
job. Is there sufficient...
In a recent survey, 56% of employed adults reported that basic mathematical skills were critical. A...
In a recent survey, 56% of employed adults reported that basic
mathematical skills were critical. A supervisor thinks this
percentage has increased due to increased use of technology in the
workplace. She takes a random sample of 470 employed adults and
finds that 281 of them feel that basic mathematical skills are
critical or very important to their job. Test her hypothesis at the
α=0.05 level of significance.
-What is the test statistics?
-What is the critical value?
-Estimate the...
In a recent survey, 56% of employed adults reported that basic mathematical skills were critical. A...
In a recent survey, 56% of employed adults reported that basic
mathematical skills were critical. A supervisor thinks this
percentage has increased due to increased use of technology in the
workplace. She takes a random sample of 470 employed adults and
finds that 281 of them feel that basic mathematical skills are
critical or very important to their job. Test her hypothesis at the
α=0.05 level of significance.
What is the test statistics?
What is the critical value?
Estimate the...
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