Question

A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Felicia read

Answer 1

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

Step-by-step 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%