In a recent survey, 32% of employed U.S. adults reported that basic mathematical

Question

In a recent survey, 32% of employed U.S. adults 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 of technology in the workplace. She takes a random sample of 84 of use employed adults and finds that them feel that basic mathematical skills are critical very important to their job. Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job hasincreased at the a 005 level of significance? What are the null and alternative hypotheses? Ho: p versus H1: p Determine the test statistic. zo (Round to two decimal places as needed.) Determine the P-value. P-value (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject the null hypothesis. There is sufficient evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased. O B. Reject the null hypothesis. There is insuffcient evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased. Click to select your answer(s).

Explanation / Answer

The critical z value is 1.96

Since the calculated z=3.03 is greater than critical value 1.96, hence we reject null hypothesis.

Ans: C.

          

Given, Null Hypothesis (P) = 0.32 Alternative Hypothesis (P) =/= 0.32 n = 200 p = 0.42 Standard Deviation (SD) = sqrt(P*(1-P)/n) = 0.032985 Standard Error (S.E) = 0.002332 Z    = ( p - P) / SD Z    = 3.03

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