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solve using R or R studio if needed1. In a study of human memory, Shachs (1967) demonstrated that people recall the meaning of verbal material, but tend to forget the exact word-for-word details. In this study, people read a passage of text. Then the people were shown a test sentence and asked whether or not the identical sentence has appeared in the text. In one condition, the test sentence was phrased differently, but had the same meaning as a sentence that was in the text. (a) Write a hypothesis to test that the performance is significantly better than expected by chance. (b) Out of 45 people, 27 correctly noticed that change in the sentence. Test the hypothesis based on the binomial distribution and report a p-value. (c) Is the test significant at the 10%, 5%, 1% level? (d) Does your conclusion change is 28 people notice the change? 29 people?

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