Question

Chemicals in butter-flavoring: Workers in a microwave popcorn production plant in Missouri breathe chemicals that are part of the butter-flavoring. Are these workers at greater risk of developing lung problems? To investigate this question, 135 workers at the plant receive a survey, and 117 respond.

Researchers want to compare workers in the popcorn production area with workers who have jobs in other parts of the plant. People in these other jobs are not directly exposed to the butter flavorings. Of the 97 workers in the production area, 30 reported experiences of “shortness of breath.” Of the 20 workers in other jobs, only 1 reported “shortness of breath.”

What can we conclude from this study

Answer 1

H0: Null Hypothesis: P1P2

HA: Alternative Hypothesis: P!>P2

Q = 1 - P = 0.7350

p1=30/97=0.3093

p2 = 1/20 = 0.05

Test Statistic is given by:
Z =(0.3093 - 0.05)/0.1084

= 2.3921

Take = 0.05

From Table, critical value of Z = 1.645

Since calculated value of Z = 2.3921 is greater than critical value of Z = 1.645, the difference is significant. Reject null hypothesis.

Conclusion:

The data support the claim that these workers are at greater risk of developing lung problems.