SOLUTION: A news report claims that 55% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this

Algebra ->  Probability-and-statistics -> SOLUTION: A news report claims that 55% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this       Log On


   

Question 1177831: A news report claims that 55% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this claim is valid for their employees. A random sample of 100 employees finds that 62 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?” Do these data provide convincing evidence at the α = 0.05 level that the proportion of all employees in this chain who would say “Yes” differs from 0.55? (Work cooperatively with partner)

Parameter: Statistic:
Hypotheses: Significance level:


Check conditions: Test statistic formula:

Work:
Test statistic value:

Critical value:

Conclude:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Ho:  p = .55
Ha:  p ≠ .55 
n = 100   x̄ = .62
α=0.05  one tailed, critical value =  |-1.6449| = 1.645
 z+=blue+%28.62-.55%29%2Fsqrt%28blue%28.55%28.45%29%2F100%29%29  = 1.407
 1.407 < 1.645  Fail to  Reject Ho
There is NOT sufficient evidence at the 0.05 level of significance 
to support a claim that the proportion of all employees in this chain who would say “Yes” differs from 0.55. 
Wish You the Best in your Studies.