27. Here are the results from Erica's bowling experiment in Exercise 19. Is there con-
vincing evidence that her ABILITY to bowl a strike is greater with the 16-pound ball?
(a) What are the hypotheses Erica wants to test?
(b) What is the evidence for the alternative hypothesis?
(c) Explain how to use note cards to simulate the
difference (16 pound - 14 pound) in strike per-
centage, assuming that Erica has equal ABILITY
to roll a strike with both balls.
Weight of ball
14 pound 16 pound | Total
Outcome Strike
of bowl
2
4
6
No strike
8
6
14
Total
10
10
20
20
(d) The dotplot displays the results of 50 simulated experiments, as described in
the previous part. Use the dotplot to estimate the p-value.
:
-40
-20
20
40
Simulated difference (16 pound - 14 pound) in strike percentage
e) What conclusion should Erica make, based on the p-value?
