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Hypothesis test for a population proportion: A software company is interested in improving customer satisfaction rate from the 80% currently claimed. The company sponsored a survey of 113 customers and found that 96 customers were satisfied. What is the test statistic z?

User LGTrader
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Final answer:

A software company is interested in improving customer satisfaction rate from the 80% currently claimed, the z-statistic is 1.454.

Step-by-step explanation:

The test statistic for a hypothesis test for a population proportion is typically the z-statistic.

To calculate the z-statistic, we first need to find the standard error, which is the square root of (p-hat * (1 - p-hat))/n,

where

p-hat is the sample proportion

n is the sample size.

In this case, the sample proportion is 96/113 = 0.8496 and the sample size is 113.

Plugging these values into the equation, we get the standard error as 0.0339.

The z-statistic is then calculated as (p-hat - p) / standard error

Where

p is the population proportion claimed by the software company.

In this case, p is 0.80.

Plugging in the values, we get (0.8496 - 0.80) / 0.0339 = 1.454.

So therefore the z-statistic is 1.454.

User Muecas
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