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. Which of the following is the correct conclusion to the hypothesis test? (Hint: a previous question asked what probabilities to add together to determine the p-value. Sum those probabilities and use that p-value to answer this question.) There is not enough evidence to indicate that the proportion of college students who fail a course during their first year is less than 0.51. There is strong evidence to indicate that the proportion of college students who fail a course during their first year is 0.51. There is strong evidence to indicate that the proportion of college students who fail a course during their first year is less than 0.51. There is not enough evidence to indicate that the proportion of college students who fail a course during their first year is 0.51.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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. Which of the following is the correct conclusion to the hypothesis test? (Hint: a previous question asked what probabilities to add together to determine the p-value. Sum those probabilities and use that p-value to answer this question.)

There is not enough evidence to indicate that the proportion of college students who fail a course during their first year is less than 0.51.

There is strong evidence to indicate that the proportion of college students who fail a course during their first year is 0.51.

There is strong evidence to indicate that the proportion of college students who fail a course during their first year is less than 0.51.

There is not enough evidence to indicate that the proportion of college students who fail a course during their first year is 0.51.

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