In: Statistics and Probability
A publisher reports that 29% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 250 found that 26% of the readers owned a particular make of car. Is there sufficient evidence at the 0.01 level to support the executive's claim?
Null hypothesis
Alternative hypothesis
We have for given example,
Population proportion value is =0.29
x=65
n=250
Level of significance = 0.01
Estimate for sample proportion
Z test statistic formula for proportion
=-1.05
P value is =0.2938
P value is =0.2938 > 0.01
Therefore, we fail to reject H0 at
Conclusion: We do not have sufficient evidence at to support the executive's claim