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 in a vertical column 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, 3434 subjects chose the pair of socks in the center. Do these data provide evidence of "center stage effect?" Follow the fourstep process. (Hint: If subjects are choosing a pair of socks at random from the five positions, what would be the probability of selecting the pair in the middle? This is the value of p in the nullhypothesis.)

SOLVE: The z statistic can be used to test the hypotheses.Why?

There are at least 10successes.10successes.

There are strictly less than 10successes.10successes.

None of the options arecorrect.

The expected numbers of successes and failures are over10.over10.

Identify the correct statistic.zstatistic.

=3.6z=3.6

=3.5z=3.5

=5.12z=5.12

=0.024