d) Using this portion of the standard normal chart and part (c), find the probability P(x 2 60). 00 .01 .02 .03 .04 .05 9678 .9744 .9798 1.8 .9641 .9713 9772 9649 1.9 2.0 9719 9778 .9656 .9726 9783 9664 .9732 9788 9671 9738 9793 e) You should have found that the answer to (d) is much smaller than the answer to (b). This means that the probability of getting 60% or more tails depends on the sample size n. That is: Probability of 6 or more tails out of 10> Probability of 60 or more tails out of 100 even though the proportion, p = 60%, is the same in both cases. Why does this happen? %3D ive e You Allyou in f) Without doing any new calculations, resolve these two hypothesis tests to a 3% level of significance. The null hypothesis is that the coin is fair. The alternate hypothesis is that the coin is biased toward tails. Ho:p = 0.5 H:p > 0.5 %3D I. If the coin is flipped 10 times and it comes up tails 6 times, what is your conclusion? Compare your result from part (b) to the cutoff of 3%. II. If the coin is flipped 100 times and it comes up tails 60 times, what is your conclusion? Compare your result from part (d) to the cutoff of 3%.
d) Using this portion of the standard normal chart and part (c), find the probability P(x 2 60). 00 .01 .02 .03 .04 .05 9678 .9744 .9798 1.8 .9641 .9713 9772 9649 1.9 2.0 9719 9778 .9656 .9726 9783 9664 .9732 9788 9671 9738 9793 e) You should have found that the answer to (d) is much smaller than the answer to (b). This means that the probability of getting 60% or more tails depends on the sample size n. That is: Probability of 6 or more tails out of 10> Probability of 60 or more tails out of 100 even though the proportion, p = 60%, is the same in both cases. Why does this happen? %3D ive e You Allyou in f) Without doing any new calculations, resolve these two hypothesis tests to a 3% level of significance. The null hypothesis is that the coin is fair. The alternate hypothesis is that the coin is biased toward tails. Ho:p = 0.5 H:p > 0.5 %3D I. If the coin is flipped 10 times and it comes up tails 6 times, what is your conclusion? Compare your result from part (b) to the cutoff of 3%. II. If the coin is flipped 100 times and it comes up tails 60 times, what is your conclusion? Compare your result from part (d) to the cutoff of 3%.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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please only answer D, E and F!!! ONLY D, E AND F!!
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