In a statistics activity, students are asked to spin a penny and a dime and determine the proportion of times that each lands with tails up. The students believe that since a dime is lighter, it will have a lower proportion of times landing tails up compared to the penny. The students are instructed to spin the penny and the dime 30 times and record the number of times each lands tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Let pD = the true proportion of times a dime will land tails up and pP = the true proportion of times a penny will land tails up. Which of the following is the correct standardized test statistic and P-value for the hypotheses, ?

Find the z-table here.

, P-value=0.592
, P-value = 0.296
z = StartStartFraction 0.60 minus 0.67 OverOver StartRoot StartFraction (0.63) (0.40) Over 30 EndFraction + StartFraction (0.67) (0.33) Over 30 EndFraction EndRoot EndEndFraction, P-value = 0.296
z = StartStartFraction 0.67 minus 0.60 OverOver StartRoot StartFraction (0.60) (0.40) Over 30 EndFraction + StartFraction (0.67) (0.33) Over 30 EndFraction EndRoot EndEndFraction, P-value = 0.592