1. Over the past two seasons, a sports analyst was able to successfully predict
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Question
1. Over the past two seasons, a sports analyst was able to successfully predict the point spread (± 5 points) of 60% of all pro football games. Is this is an impressive record? Why or why not? How would you go about calculating a P-value for this record, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the record of successful predictions was due to chance alone?
2. A scientist clams to have a method for predicting earthquakes. Over the past two years she's successfully predicted the locations of the epicenters (to within a 100-kilometer radius), the times (± 8 hours), and the magnitudes (± 3 on the Richter scale) of over 50 earthquakes around the world. Do you think this is an impressive record? Why or why not? How would you go about calculating a P-value for this record, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the record of successful predictions was due to chance alone?
3. A psychologist claims he has a test that predicts at age 5 what your annual income will be when you're 30, ± $8,000. He's administered the test to over 1,000 five-year-olds, and so far over 50 of them have reached 30 years of age. Of those 50 people, test results were accurate (within the specified range) for 40. Is this an impressive record? Why or why not? How would you go about calculating a P-value for this record, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the record of successful predictions was due to chance alone?
4. Think of an impressive scenario you've seen in the news or elsewhere. Did you think it was an impressive prediction? Why or why not? How would you go about calculating a P-value for the prediction, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the successful prediction occurred due to chance alone?
5. Invent your own scenario for a prediction, and state why it's impressive or why it isn't. How would you go about calculating a P-value for the prediction, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the successful prediction occurred due to chance alone?
Explanation / Answer
1. Over the past two seasons, a sports analyst was able to successfully predict the point spread (± 5 points) of 60% of all pro football games. Is this is an impressive record? Why or why not? How would you go about calculating a P-value for this record, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the record of successful predictions was due to chance alone?
P VALUE WILL BE CALCULATED WITH Z STANDARD TABLE
P VALUE NEED TO BE LOWER THAN 0.05 TO REJECT THE HYPOTHESIS NULL
2. A scientist clams to have a method for predicting earthquakes. Over the past two years she's successfully predicted the locations of the epicenters (to within a 100-kilometer radius), the times (± 8 hours), and the magnitudes (± 3 on the Richter scale) of over 50 earthquakes around the world. Do you think this is an impressive record? Why or why not? How would you go about calculating a P-value for this record, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the record of successful predictions was due to chance alone?
WE NEED A DATA OF PROPORTION TO CALCULATE Z VALUE AND THEN NORMAL TABLE DISTRIBUTION
P VALUE NEED TO BE LOWER THAN 0.08 TO REJECT Ho
for the other questions
I can gladly help you but you should post it in a new question
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