7.3) All euros have a national image on the \"heads\" side and a common design o

Question

7.3)

All euros have a national image on the "heads" side and a common design on the "tails" side. Spinning a coin, unlike tossing it, may not give heads and tails with equal probabilities. Polish students spun the Belgian euro 250 times, with its portly king, Albert, displayed on the heads side. The result was 150 heads. How significant is this evidence against equal probabilities? Follow the four-step process. (Round your test statistic to two decimal places and your P-value to four decimal places.) z= P-value = Conclusion: There is convincing evidence that the proportion of times a Belgian Euro coin spins heads is not 0.50 There is no evidence to conclude that the proportion of times a Belgian Euro coin spins heads is not 0.50 There is moderately suggestive evidence to conclude that the proportion of times a Belgian Euro coin spins heads is not 0.50 There is suggestive, but inconclusive evidence to conclude that the proportion of times a Belgian Euro coin spins heads is not 0.50

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p 0.5

Hypothesis test results:

Hence,

z = 3.16

P - value = 0.0016

Conclusion: Option A is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 150 250 0.6 0.031622777 3.1622777 0.0016

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