Complete question is;
A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Felicia read
that spinning-rather than flipping-a US penny on a flat surface is not fair, and that spinning a penny
makes it more likely to land showing tails. She spun her own penny 100 times to test this, and the penny
landed showing tails in 60% of the spins.
Let p represent the proportion of spins that this penny would land showing tails.
What are appropriate hypotheses for Connor's significance test?
A. H_0 : p = 50% H_1 : p > 60%
B. H_0: p = 50% H_1: p > 50%
C. H_0: p = 50% H_1: p < 50%
D. H_0 : p = 60% H_1 : p < 60%
Answer:
Option B is correct
Explanation:
From the question it is clear that;
The population proportion is 50% because it is not associated with any sample size.
However, the sample size is 100 and the sample proportion from this 100 is 60%.
But we don't define our hypothesis based on the sample proportion.
Now we want to find the probability that spinning a penny makes it more likely to land showing tails.
Thus we define the hypothesis as;
Null hypothesis; H0 : p=50%
Alternative hypothesis; H1 : p>50%