ItsumoGenki of Tokyo is testing its new Sugoku energy drink. The company is concerned that the product may have unintended side effects, the most serious of which is an increased incidence of tinnitus— a ringing in the ears. As a result, the company has conducted a clinical trial involving a sample of 1000 volunteers. Half of the volunteers in the sample were given the energy drink and half were given purified water. A summary of results showed that 3.4% of the energy drink sample reported tinnitus symptoms after drinking Sugoku, while 2.8% of the sample who drank the water reported tinnitus symptoms. Is the difference in results statistically significant at the 5% significance level? Explain.
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