A Random Sample of Oranges Was Selected from an Orchard $20 \%$

question 35

Multiple Choice

A random sample of oranges was selected from an orchard to analyze the oranges' ripeness. Based on the time of year, the orchard owner believes that $20 \%$ of the oranges are ready for picking now, $40 \%$ will be ready in three days, $20 \%$ will be ready in one week, and $20 \%$ will be ready in two weeks. Is there $\text { evidence to reject this hypothesis at }=.05 ?$

$\begin{array}{ccccc}\text { Ripeness of oranges } & \text { Ready } & \text { Ready in } & \text { Ready in } & \text { Ready in two weeks }\end{array}$



$\begin{array}{ccccc}\text { Number of oranges } & 10 & 19 & 14 & 16\end{array}$

• A) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value \(3.076 < 9.488\)
• B) There is evidence to reject the claim that the oranges are distributed as claimed because the test value \(5.991 > 3.076\)
• C) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value \(3.076 < 7.815\)
• D) There is evidence to reject the claim that the oranges are distributed as claimed because the test value \(9.488 > 3.076\)

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Definitions:

Coincidental Occurrence

An event or circumstance that occurs at the same time by chance but without any causal connection.

Illusory Correlation

The perception of a relationship between two variables even when no such relationship exists, often due to cognitive biases.

Predictive Accuracy

The degree to which a forecast or prediction correctly anticipates future events or outcomes.

Random Assignment

A method used in experiments where participants are allocated to different groups in a way that ensures each has an equal chance of being assigned to any group, reducing bias.