Question

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 evidence to conclude that the proportion of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the α = 0.01 level of significance?

On a separate sheet of paper, write down the hypotheses (H₀ and H_a) to be tested.

Conditions:
np₀(1-p₀) = _______ (Round to 3 decimal places.)
The normal approximation test for proportions  (is / is not) appropriate for this data.

Rejection Region:
To test the given hypotheses, we will use a (left / right / two) -tailed test.  
The appropriate critical value(s) for this test is/are________ .  (Report your answer exactly as it appears in Table V. For two-tailed tests, report both critical values in the answer blank separated by only a single space.)

On a separate sheet of paper, sketch the rejection region(s) for this test.

Answer 1