Question

A new detergent is market tested. Results show that 65% would prefer to buy this product....

  1. A new detergent is market tested. Results show that 65% would prefer to buy this product. A sample of 100 customers in a local store is selected. What is the probability that less than 70% of them buy this product?
Math   Statistics-And-Probability   
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Answer #1

Solution

Given that,

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 100

= p = 0.65

=  [p ( 1 - p ) / n] =   [(0.65 * 0.35) / 100 ] = 0.0477

P( < 0.70 )

= P[( - ) / < (0.70 - 0.65) / 0.0477]

= P(z < 1.05 )

Using z table,

= 0.8531

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