Angus Reid Strategies surveys Canadians as to whether they prefer an elected head of state instead of a monarch. The percentages preferring an elected head of state were 54% for men and 33% for women in a 2013 survey of 1008 Canadian adults. Test whether the percentage of men with this view was more than 10% higher than the percentage of women at the 1% significance level and interpret the result. Assume half of the people surveyed were men and half were women.