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. The following is the setup for this hypothesis test: 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.

estimated proportion of unemployed

Step-by-step explanation:

Information given

n=1500 represent the random sample taken

X=92 represent the number of people unemployed

estimated proportion of unemployed

is the value to value to test

z would represent the statistic

represent the p value

System of hypothesis

We want to test if the true proportion is lower than 0.05 or no and the system of hypothesis are::  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

Replacing the info given we got:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743