Question

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 240 times, with its portly king, Albert, displayed on the heads side. The result was 150 heads. How strong is the evidence against equal proportions of heads and tails? (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.

Answer 1

The statistic software output for this problem is:

One sample proportion summary hypothesis test: P: Proportion of successes Ho: p = 0.5 HA: 0.5 Hypothesis test results: Proportion Count Total Sample Prop. Std. Err. Z-Stat 150 240 0.625 0.032274861 3.8729833 P-value 0.0001

z = 3.87

P-value= 0.0001

C)