Answering Machine Ownership It has been reported in an almanac that 78% of Americans own an...

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?

Solutions

Expert Solution

Null hypothesis

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

orchestra answered 2 years ago

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