The accompanying data represent the daily (for example, Monday to Tuesday) movement of Johnson & Johnson (JNJ) stock for 61 randomly selected trading days. "Up" means the stock price increased for the time period. "Down" means the stock price decreased (or was unchanged) for the time period. Construct and interpret a 95% confidence interval for the proportion of days JMJ stock increases.

Find the upper and lower bounds for the 95% confidence interval.

Trading data Below

Down Down Down Up Up Down Up Down Up Up Up Up Down Down Down Down Up Up Down Down Up Down Down Up Down Up Up Down Up Down Down Up Down Up Up Down Up Down Down Up Up Down Up Up Down Up Up Down Up Up Up Down Up Down Down Up Down Up Down Down Up