A taste test was done in which a blindfolded subject was ask

A taste test was done in which a blindfolded subject was asked to identify the spread on English muffins. Twenty bites were taken, and they were randomly arranged such that exactly half of the bites contained butter and half contained margarine. Ho p 0.50 Ha p> 0.50 The subject got 13 out of 20 correct. The graphs show p-values (as shaded areas) corresponding to the alternative hypotheses p 40.50 p> 0.50, and p

Solution

proportion =13/20 = 0.65

standard error =sqrt ( 0.65 * 0.35/20) = 0.10665

test statistic = 0.65 - 0.5/0.10665 = 1.4064

p-value = 0.0798

the closest being the option B

and is the only option which satisfies p > 0.5