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 241 times, with its portly king, Albert, displayed on the heads side. The result was 159 heads.

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

Using p-hat to 4 decimals, the test statistic is z =  with P-value . (Use three decimals on both.)

The null hypothesis is:

not rejected

rejected

Answer 1

Here using ti-83 calculator.

p^ = 0.6598

Test statistic :-

z = 4.960

P-value :-

P = 0.000 = 0

Conclusion :-

The null hypothesis is rejected.