In a statistics activity, students are asked to determine if there is a difference in the proportion of times that a spinning penny will land with tails up, and the proportion of times a spinning dime will land tails up. The students are instructed to spin the penny and the dime 30 times and record the number of times they land tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Assuming the conditions for inference are met, what is the 98% confidence interval for the difference in proportions of tails side up for a penny and a dime?
In a statistics activity, students are asked to determine if there is a difference in the proportion of times that a spinning penny will land with tails up, and the proportion of times a spinning dime will land tails up. The students are instructed to spin the penny and the dime 30 times and record the number of times they land tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Assuming the conditions for inference are met, what is the 98% confidence interval for the difference in proportions of tails side up for a penny and a dime?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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In a statistics activity, students are asked to determine if there is a difference in the proportion of times that a spinning penny will land with tails up, and the proportion of times a spinning dime will land tails up. The students are instructed to spin the penny and the dime 30 times and record the number of times they land tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Assuming the conditions for inference are met, what is the 98% confidence interval for the difference in proportions of tails side up for a penny and a dime?
Transcribed Image Text:In a statistics activity, students are asked to determine if there is a difference in the proportion of times that a
spinning penny will land with tails up, and the proportion of times a spinning dime will land tails up. The students
are instructed to spin the penny and the dime 30 times and record the number of times they land tails up. For one
student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Assuming the conditions
for inference are met, what is the 98% confidence interval for the difference in proportions of tails side up for a
penny and a dime?
Find the z-table here.
0.40(1-0.40)
0.33(1-0.33)
O (0.40 - 0.33) ±2.33,
30
30
0.40(1-0.40)
0.33(1-0.33)
O (0.40 - 0.33) ±2.58,
30
30
O (0.60 - 0.67) ±2.33,
0.60(1-
-0.60)
0.67(1-0.67)
+
30
30
0.60(1-0.60)
0.67(1-0.67)
O (0.60 - 0.67) ±2.58
30
30
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