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In: Statistics and Probability

When choosing an item from a group, researchers have shown that an important factor influencing choice...

When choosing an item from a group, researchers have shown that an important factor influencing choice is the item's location. This occurs in varied situations such as shelf positions when shopping, filling out a questionnaire, and even when choosing a preferred candidate during a presidential debate. In this experiment, five identical pairs of white socks were displayed by attaching them vertically to a blue background that was then mounted on an easel for viewing. One hundred participants from the University of Chester were used as subjects and asked to choose their preferred pairs of socks. In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in the center. In this experiment, 34 subjects chose the pair of socks in the center. Are these data evidence of the "center stage effect"? STATE: Are the students choosing pairs of socks randomly? If the students were choosing socks at random, what would be the chance, p 0 , of a pair being selected? (Enter your answer rounded to one decimal place.)

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