What conclusion should be made at the a = 0.05 level?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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What conclusion should be made at the a = 0.05 level?
A camival game is designed so that approximately 10%
of players will win a large prize. If there is evidence that
the percentage differs significantly from this target, then
adjustments will be made to the game. To investigate, a
random sample of 100 players is selected from the
large population of all players. Of these players, 19 win
a large prize. The question of interest is whether the
data provide convincing evidence that the true
proportion of players who win this game differs from
0.10. The computer output gives the results of a z-test
for one proportion.
O Because the P-value <a = 0.05, there is convincing
evidence that the true proportion of players who win
this game differs from 0.10.
O Because the P-value <a = 0.05, there is convincing
evidence that the true proportion of players who win
this game differs from 0.19.
O Because the P-value <a = 0.05, there is not
convincing evidence that the true proportion of
players who win this game differs from 0.10.
Test and CI for One Proportion
O Because the P-value <a = 0.05, there is not
convincing evidence that the true proportion of
Test of p = 0.1 vs p 0.1
players who win this game differs from 0,19.
Sample
Sample
95% CI
z-
P.
1
19
100
(0.113,
Value value
0.19
0.267)
3.00
0.0027
Mark this and retum
Save and Exit
Next
Submit
Cup
Ce
6.
8.
m
Transcribed Image Text:What conclusion should be made at the a = 0.05 level? A camival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0.10. The computer output gives the results of a z-test for one proportion. O Because the P-value <a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.10. O Because the P-value <a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.19. O Because the P-value <a = 0.05, there is not convincing evidence that the true proportion of players who win this game differs from 0.10. Test and CI for One Proportion O Because the P-value <a = 0.05, there is not convincing evidence that the true proportion of Test of p = 0.1 vs p 0.1 players who win this game differs from 0,19. Sample Sample 95% CI z- P. 1 19 100 (0.113, Value value 0.19 0.267) 3.00 0.0027 Mark this and retum Save and Exit Next Submit Cup Ce 6. 8. m
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