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A Biology Professor Claims That, on the Average, 15% of Her

question 18

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A biology professor claims that, on the average, 15% of her students get a grade of A, 30% get a B, 30% get a C, 10% get a D, and 15% get an F. The grades of a random sample of 105 students were Recorded. The following table presents the results.

 Grade 12345 Observed 173926518\begin{array} { c | l l l l l } \text { Grade } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 17 & 39 & 26 & 5 & 18\end{array}

Test the hypothesis that the grades follow the distribution claimed by the professor. Use the α=0.01\alpha = 0.01 level of Significance.


Definitions:

Positivity

The practice or tendency of being optimistic in attitude, focusing on the good and positive aspects of a situation.

Self-Serving Bias

A cognitive bias that involves attributing positive events to one’s own character but attributing negative events to external factors.

Sociometry

A quantitative method for measuring social relationships, often used to identify the social structure within groups by analyzing choices and preferences among members.

Implicit Self-Esteem

Self-esteem you are not necessarily aware of having.

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