Question

Suppose the contact rate for a phone survey is 72​% and that 28​% of people will...

Suppose the contact rate for a phone survey is 72​% and that 28​% of people will participate in the survey. Assume that agreeing or not agreeing to participate is independent of whether the house is contacted.

​a) What is the probability that the next house will be contacted and refuse to​ cooperate?

​b) What is the probability of failing to contact a​ house, or making contact and not getting them to agree to the​ interview?

Math   Statistics-And-Probability   
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Answer #1

Remember that , for independen events the probability that both occur is the product of the individual probabilities .

## a) .What is the probability that the next house will be contacted and refuse to​ cooperate?

Answer :

Probability of being contacted : 72 % = 0.72

Probability of refusing : 1 - 0.28 % = 0.72

Combined probability = ( 0.72 * 0.72 ) = 0.5184

### ​b) What is the probability of failing to contact a​ house, or making contact and not getting them to agree to the​ interview?

Answer :

The probability of failing to conduct or making contact and not geeting them to agree

1 - the probability of contacting and getting them to agree

the probability of contacting and getting them to agree is = 0.72 * 0.28 = 0.2016

the answer to this question is : 1 - 0.2016 =  0.7984

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