A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 92 people are unemployed. H0 : p= 0.05
Ha : p < 0.05

Required:
Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.

The test statistic for this hypothesis test for a proportion is z=1.90.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the unemployment rate is less than 5%.

Then, the null and alternative hypothesis are:

The sample has a size n=1500.

The sample proportion is p=0.061.

The standard error of the proportion is:

Then, we can calculate the z-statistic as:

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