In a study of a new scent-detection task with two response options, an experimental dog was tested n=240n=240 times and correctly identified the target on 156156 trials. Test whether the dog's success rate differs from random guessing (p=0.5)(p=0.5) using a two-sided test. What is the correct conclusion and the p-value?

Reject H0: p=0.5H_0:\; p=0.5p-value ≈0.0000035\approx 0.0000035

Fail to reject H0: p=0.5H_0:\; p=0.5p-value ≈0.0000035\approx 0.0000035

Reject H0: p=0.5H_0:\; p=0.5p-value ≈0.0035\approx 0.0035

Fail to reject H0: p=0.5H_0:\; p=0.5p-value ≈0.0035\approx 0.0035

In a study of a new scent-detection task with two response option...

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