A recent study (Ackerman, Griskevicius, and Li, 2011) examined expressions of commitment between two partners in a committed romantic relationship. One aspect of the study involved 47 heterosexual couples who are part of an online pool of people willing to participate in surveys. These 47 couples were asked about which person was the first to say "I love you." For 7 of those couples, the two people disagreed about the answer to this question. But both people agreed for the other 40 couples, so those 40 responses were included in the analysis. Previous studies have suggested that males tend to say "I love you" first. They found that the man said "I love you" in 28 of the 40 couples before the woman did. Since previous research indicated that the man tends to say "I love you" before the woman, we tested to see if the probability a man would say "I love you" before the woman is more than 50%.

-Without using an applet, determine the value of the theory-based (normal approximation) p-value if we used a two-sided alternative hypothesis. (Round your answer to 4 decimal places; e.g. 5.2751.)