To check: Whether there is sufficient evidence to conclude that the proportion of employees that have the negative impact of work stress is different from 0.75.
Answer to Problem 2.1CYU
Yes, there is sufficient evidence to conclude that actual figures of the proportions are higher at high school.
Explanation of Solution
Given:
Confidence level = 95%
Number of employees (n) = 100
Number of employees that answered yes ( x ) = 68
Population proportion ( p ) = 0.75
Formula used:
The test statistic formula is:
Calculation:
The null and alternative hypotheses are:
The obtained Ti-83 output is:
The p -value (0.1060) is greater than the significance level. The decision is non rejection of null hypothesis. Thus, at 5% significance level there is insufficient evidence to conclude that the proportion of employees that have the negative impact of work stress is different from 0.75.
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics Using Excel (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Elementary Statistics: Picturing the World (6th Edition)
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