In: Statistics and Probability
Answering Machine Ownership It has been reported in an almanac that 78% of Americans own an answering machine. A random sample of 143 college professors at small liberal arts schools revealed that 100 owned an answering machine. At a 0.05, test the claim that the percentage is the same as stated in the almanac.Source: World Almanac. What is the test statistic?
Null hypothesis
vs
Alternative hypothesis
We have for given example,
Population proportion value is =0.78
x=100
n=143
Level of significance = 0.05
Estimate for sample proportion
Z test statistic formula for proportion
=-2.33
Therefore, Z test statistic =-2.33
P value is =0.0198 < 0.05
Therefore, we reject H0 at