Context: Researchers from Harvard Medical School investigated the relationship between the incidence of type 2 diabetes and red meat consumption (bacon, hot dogs, etc.). They had a sample of 37,000 women across the United States complete a questionnaire about their eating habits. The women, who were all at least 45 years old, completed this questionnaire yearly for three years. The researchers found that women who consumed more processed red meat had a significantly higher risk of contracting type 2 diabetes (p = .004).

Question: The p-value reported in the study was p = .004. Write the statistical hypothesis that was tested by the researchers to obtain this p-value.