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In August 2003, 56% of all employed adults in the United States reported that basic mathematical...

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Basic Math

In August 2003, 56% of all employed adults in the United Statesreported that basic mathematical skills were critical or veryimportant to their job. A researcher believes that this proportionhas increased, so a random sample of 480 employed adults was takenand 297 of them felt that basic mathematical skills are critical orvery important to their job.

Be sure to check if the conditions are met, and show howyou checked them - show ALL work.

1a) Is there sufficient evidence to conclude that the percentageof all employed adults who feel basic mathematical skills arecritical or very important to their job has increased? Use asignificance level of ? =0.05.

whats your conclusion?

1b) Find a 90% confidence interval for the proportion of allemployed adults in the United States who feel that basicmathematical 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 amargin of error E=3% and a confidence level of 98%? sample sizen=?

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