Conduct a one-tailed hypothesis test given the information below.
A test was conducted to determine whether gender of a spokesperson affected the likelihood that consumers would prefer a new vacuum cleaner. A survey of consumers at a trade show employing a female spokesperson determined that 78 out 200 customers preferred the product, while 56 of 180 customers preferred the product when a male spokesperson was employed. At a 0.05 level of significance, do the samples provide sufficient evidence to indicate that on average, fewer customers prefer a new product when the spokesperson is male?
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