The proportion of students who passed an engineering examination was 80%. Students complained that they would have done better if they were allowed to use calculators. Later, a random sample of 90 students took this exam with calculators and 75 passed. Was this a significant improvement at 0.05 level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Directions: Solve the following problems. 1. The proportion of students who passed an engineering examination was 80%. Students complained that they would have done better if they were allowed to use calculators. Later, a random sample of 90 students took this exam with calculators and 75 passed. Was this a significant improvement at 0.05 level? 2. It is claimed that the average time spent by employees on telephone calls is less than 6 minutes. In a study time spent on the telephone by its employees, a large office monitors a random sample of 25 employee calls and finds the mean length of this calls to be 5.8 minutes with a standard deviation of 1.4 minutes. Is the claim true at 0.05 level of significance?
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