Answer question C only. . One classical experiment on ESP (extrasensory perception) tests for the ability of anindividual to show telepathy-to read the mind of another individual. This test uses fivecards with different designs, all known to both participants. In a trial, the “sender" sees arandomly chosen card and concentrates on its design. The “receiver" attempts to guess theidentity of the card. Each of the five cards is equally likely to be chosen, and only one card isthe correct answer at any point.a. Out of 10 trials, a receiver got four cards correct. What is her success rate? What is herexpected rate of success, assuming she is only guessing?b. Is her higher actual success rate reliable evidence that the receiver has telepathic abilities?Carry out the appropriate hypothesis test.c. Assume another (extremely hypothetical) individual tried to guess the ESP cards 1000times and was correct 350 of those times. This is very significantly different from thechance rate, yet the proportion of her successes is lower than the individual in part (a).Explain this apparent contradiction.

Name: Answer question C only. . One classical experiment on ESP (extrasensor
Uploaded: 2024-03-20T07:07:50.000Z
Channel: Bartleby
Description: Answer question C only. . One classical experiment on ESP (extrasensory perception) tests for the ability of anindividual to show telepathy-to read the mind of another individual. This test uses fivecards with different designs, all known to both par

a) From the part a, the rate is not different from the random guess rate. c) Null Hypothesis: H0:p=0.2 Alternative Hypothesis: H1:p≠0.2 From the given information, Individual tried to guess SP cards 1000 times and was correct 350 of those times. sample proportion: Here, the sample size is large, we can use normal approximation. Test statistic: Decision Rule: If p-value ≤ α, then reject the null hypothesis. Conclusion: The level of significance is α=0.05 Here, the p-value is less than the level of significance. From the decision rule, reject the null hypothesis. Thus, the rate is different from the random guess rate. Comparison: In part (2) , the sample size and the sample proportion values are large compared with part 1. That is, in part (2), the test statistic value increases and the p value decreases compared with part 1. Hence, we will get significant result in part 2. Therefore the result in part 2 is contradiction from the result in the part 1.