Students conducted an experiment to determine whether the Belgium-minted Euro co
ID: 3316650 • Letter: S
Question
Students conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land heads up or tails up. Coins were spun on a smooth surface, and in 330 spins, 180 landed with the heads side up.
(a) Should the students interpret this result as convincing evidence that the proportion of the time the coin would land heads up is not 0.5? Test the relevant hypotheses using = 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z= ?
P-value= ?
Explanation / Answer
The statistical One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p 0.5
Hypothesis test results:
Hence,
z = 1.65
P - value = 0.0986
software output for this problem is
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 180 330 0.54545455 0.027524094 1.6514456 0.0986