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 251 times, with its portly king, Albert, displayed on the heads side. The result was 144 heads.

Test the hypothesis that the proportion of times a Belgian Euro coin spins heads equals 50% at alpha = 0.02 .

The test statistic is z =  with P-value . (Use three decimals on both.)

The null hypothesis is:

rejected

not rejected

Answer 1

n = 251

x = 144

Claim: Times of a  Belgian Euro coin spins heads equals 50%

Null and alternative hypothesis is

Level of significance = 0.02

Test statistic is

P-value = 0.0195 ( Using z table)

P-value = 0.020

P-value   , Reject Ho

conclusion : There is insufficient evidence to support the claim that the times of a Belgian Euro coin spins heads equals 50%

The null hypothesis is:rejected