(05.04 MC) A reseаrcher hаs cоnducted а survey using a simple randоm sample оf 500 golf club members to create a confidence interval to estimate the proportion of golf club members favoring a 1% annual increase in dues to remodel the clubhouse. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 125 people instead of 500 golf club members. Which of the following statements best describes how the confidence interval is affected by this change? (3 points)