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 35 employed adults and finds that 24 of them feel that basic mathematical skills are critical or very important to their job.

Consider testing the hypotheses:

H₀: p = 0.56

H₁: p > 0.56

where p is the true current proportion of employed U.S. adults who feel that basic mathematical skills are critical or very important to their job.

a) What would be the correct calculator command to run this hypothesis test?

b) Based on the random sample of 35 employed adults, the test statistic is x = 24. Compute the P-Value for the appropriate test.  Enter to four decimal places.

c) State the conclusion in context for this test.

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H0 : p = 0.56

Ha : p > 0.56

= x / n = 24 /35= 0.6857

P0 = 0.56

1 - P0 = 1 -0.56 = 0.44

z test one population proportion calculator

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

=0.6857- 0.56 / [0.56*(0.44) /35 ]

= 1.498

P(z > 1.498) = 1 - P(z < 1.498) = 0.0671

P-value = 0.0671

The  56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job