In: Statistics and Probability
You will go ahead with your planned marketing campaign to 1 million prospects, if you think you can get a 1% response rate. Past campaigns show that a 1% response rate is about the norm you can expect. You did a test of a special list with 10,000 people and 105 people responded. What do you do? Discuss
To test the our assumption that 1 % response rate. We can use proportion test as we have given
P0 = 0.01
Q0 =1-P0 = 0.99
x= 105
n=10000
p= x/ n = 1 05/10000= 0.0105
Test of Hypothesis is
H0 : P = 0.01
H1 : P 0.01
Test statistics = (p- P0 ) / sqrt( P0*Q0 /n)
=( 0.0105-0.01) / sqrt(0.01*0.99 / 10000)
= 0 0.5025189
P-value = P( | Z | > 0.5025189 ) = 0.6153026 ----using Normal Probability calculator
Decision : P- value is greater than =0.05 we accept H0 with level of significance =0.05
Conclusion : your planned marketing campaign to 1 million prospects then you may get a 1% response rate .
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