Answer:
Pennies are not really fair.
Step-by-step explanation:
Given that a student wants to determine if pennies are really fair, meaning equally likely to land heads up or tails up.
Let us do hypothesis test claiming p = 0.50
[tex]H_0: p =0.50\\H_a: p \neq 0.50[/tex]
(two tailed test)
p = proportion of heads to total
Sample proportion P = [tex]\frac{28}{50} \\=0.56[/tex]
Std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.25}{50} } \\=0.0707[/tex]
Test statistic = p diff/std error
= [tex]\frac{0.5}{0.0707} \\=7.07[/tex]
p value = 0
Since p is less than 0.05
reject H0.
It is statistically evident that the events are not equally likely for head or tail.
