Statistics Quest

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Practice, difficulty 2 of 3

How nonresponse distorts a result

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A utility company emails all 40,000 of its business customers about a new tariff. In fact 55% of them prefer the new tariff. Customers who prefer it reply at a rate of 35%; those who do not reply at 20%.

What percentage of the replies will favour the new tariff? Give 1 decimal place.