An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 800 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. For purposes of this exercise, suppose that the 800 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. The actual sample proportion observed in the study was p̂ = 0.34. Based on this sample proportion, is there convincing evidence that more than 25% of law enforcement agencies review social media activity as part of background checks, or is this sample proportion consistent with what you would expect to see when the null hypothesis is true? Test the relevant hypotheses using  ? = 0.05.   Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z= ??? P= ????

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An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 800 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. For purposes of this exercise, suppose that the 800 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks.
The actual sample proportion observed in the study was p̂ = 0.34. Based on this sample proportion, is there convincing evidence that more than 25% of law enforcement agencies review social media activity as part of background checks, or is this sample proportion consistent with what you would expect to see when the null hypothesis is true? Test the relevant hypotheses using 
? = 0.05.
 
Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z= ???
P= ????
Expert Solution
Step 1

Given,

Population proportion p=0.25

Sample proportion = 0.34

Sample size n=800

Level of significance = 0.05

Hypothesis:

H0:p=0.25

H1:p>0.25

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