Consider Testing the Alternative Hypothesis That the Proportion of Adult

Consider testing the alternative hypothesis that the proportion of adult Canadians opposed to same-sex marriage in Canada is less than 0.5. The test was conducted based on a poll of n = 1003 adults and it had a p-value of 0.102. Which of the following describes the probability represented by the p-value for this test?

A) It is the probability that fewer than half of all adults in Canada that year were opposed to same-sex marriage.
B) It is the probability that more than half of all adult Canadians that year were opposed to same-sex marriage.
C) It is the probability that a sample of 1003 adults in Canada that year would result in 48% or fewer saying they are opposed to same-sex marriage, given that a majority (over 50%) of Canadian adults actually were opposed that year.
D) It is the probability that a sample of 1003 adults in Canada that year would result in 48% or fewer saying they are opposed to same-sex marriage, given that 50% of Canadian adults actually were opposed that year.

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