Suppose that one in six smartphone users have fallen prey to cyber-attack. We use a sample of 200 smartphone users.

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Suppose that one in six smartphone users have fallen prey to cyber-attack. We use a sample of 200 smartphone users.

a-1. What is the expected value and the standard error of the sample proportion?

Note: Round "Expected value" to 2 decimal places and "Standard error" to 4 decimal places.

 

a-2.  Is it appropriate to use the normal distribution approximation for the sample proportion?

multiple choice

  • Yes, because np ≥ 5 and n(1 - p) ≥ 5
  • Yes, because n ≥ 30
  • No, because np ≥ 5 and n(1 - p) ≥ 5
  • No, because n < 30

b. What is the probability that more than 20% of smartphone users in the sample have fallen prey to cyber-attack?

Note: Round final answer to 2 decimal places.

 
 
 
 
 
 
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