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Consider testing H0: pi <= 0.3 vs. H1: pi > 0.3 where pi is the proportion...

Consider testing H0: pi <= 0.3 vs. H1: pi > 0.3 where pi is the proportion of licensed drivers under 25 years old who know how to drive a car with a manual transmission. A sample of 200 is taken, and 51 drivers in the sample know how to drive a manual transmission-equipped car. What is the value of the z-statistic for the test? (Be sure to calculate accurately!)

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Given that

Consider testing H0: pi <= 0.3 vs. H1: pi > 0.3 where pi is the proportion of licensed drivers under 25 years old who know how to drive a car with a manual transmission.

A sample of 200 is taken, and 51 drivers in the sample know how to drive a manual transmission-equipped car

n=200,

The proportion of drivers in sample is

The test statistic,


The value of the Z-statistic for the test is -1.23

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