A class is presented with a large bin that contains small plastic beads. The beads in the box are either purple or white. An instructor states that 25% of the beads are purple but a student in the professor's believes that more than a quarter of the beads in the model box are purple.
A) Select both a null and alternative hypothesis that represent this situation. Be careful of notation.
Select one or more:
HA: p=0.25
HA: p?0.25
H0: p<0.25
H0: p>0.25
HA: p?0.25
H0: p=0.25
HA: p<0.25
HA: p>0.25
B) The student takes a random sample of beads and finds that 16 out of the 44 beads sampled are purple. What is the p-value associated with the hypothesis test from Question 1?