ail a course during their freshman year. A university journal club randomly samples 9 upperclassmen and asks them if they failed a course during their freshman year, 3 say they have. Suppose a hypothesis test is to be conducted to determine if the proportion of students who failed a course during their freshman year is less than 0.51. The random variable is X = the number of students in the sample that failed a course during their freshman year. The probability distribution for X is given in the choices below. Check the probabilities to add together to obtain the p-value. (Hint: think about the correct answer to the previous question.) P(X = 0) = 0.0016 P(X = 1) = 0.0153 P(X = 2) = 0.0635 P(X = 3) = 0.1542 P(X = 4) = 0.2408 P(X = 5) = 0.2506 P(X = 6) = 0.1739 P(X = 7) = 0.0776 P(X = 8) = 0.0202 P(X = 9) = 0.002
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It is known that 51% of American college students fail a course during their freshman year. A university journal club randomly samples 9 upperclassmen and asks them if they failed a course during their freshman year, 3 say they have. Suppose a hypothesis test is to be conducted to determine if the proportion of students who failed a course during their freshman year is less than 0.51.
The random variable is X = the number of students in the sample that failed a course during their freshman year. The probability distribution for X is given in the choices below. Check the probabilities to add together to obtain the p-value. (Hint: think about the correct answer to the previous question.)
P(X = 0) = 0.0016
P(X = 1) = 0.0153
P(X = 2) = 0.0635
P(X = 3) = 0.1542
P(X = 4) = 0.2408
P(X = 5) = 0.2506
P(X = 6) = 0.1739
P(X = 7) = 0.0776
P(X = 8) = 0.0202
P(X = 9) = 0.0023

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