The board of directors for an organization of 3500 members is considering a change to their by-laws. To see if there is evidence that the majority of the membership supports this change, they collect a random sample of 50 of the member's opinions. 35 of these 50 members favor the change. At the α = 0.05 level of significance, is there statistically significant evidence to conclude that the majority of all members favor this change?
The test statistic that represents the relative standing of the sample data is:

2.828

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