Dr. Cawood's class is presented with a large bin that contains small plastic beads. The beads in the box are either purple or white. Dr. Cawood states that 25% of the beads are purple but Oliver, a student in Dr. Cawood's class believes that more than a quarter of the beads in the model box are purple.
1) Select both a null and alternative hypothesis that represent this situation. Be careful of notation.
a) HA: p=0.25
b) HA: p?0.25
c) H0: p<0.25
d) H0: p>0.25
e) HA: p?0.25
f) H0: p=0.25
g) HA: p<0.25
h) HA: p>0.25
2) Oliver takes a random sample of beads and finds that 17 out of the 46 beads sampled are purple. What is the p-value associated with the hypothesis test from Question 1? Give your answer to 4 decimal places.
3) Based on the p-value that you calculated in Question 2, what conclusion can be made about your hypothesis?