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In: Statistics and Probability

In a survey of 100 randomly selected taxi drivers in a city, 76 support increased government...

In a survey of 100 randomly selected taxi drivers in a city, 76 support increased government spending on roads and bridges. In a survey of 100 randomly selected bus drivers in the same city, 82 support such spending. Compute the test statistic for a hypothesis test to compare the population proportion of taxi drivers to the proportion of bus drivers in the city that support such spending. Assume that the conditions for a hypothesis test for the difference between the population proportions are met. Round your answer to two decimal places.

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Expert Solution

Solution:

Given:

In a survey of 100 randomly selected taxi drivers in a city, 76 support increased government spending on roads and bridges.

thus n1 = 100 and x1 = 76 , thus

In a survey of 100 randomly selected bus drivers in the same city, 82 support such spending.

thus n2 = 100 , x2 = 82 , thus

We have to find  the test statistic for a hypothesis test to compare the population proportion of taxi drivers to the proportion of bus drivers in the city that support such spending.

where

thus

The test statistic value = z = -1.04

orchestra answered 2 years ago
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