It Is Believed That Children Can Throw a Ball Further

Multiple Choice

It is believed that children can throw a ball further after lunch than before lunch. A researcher decided to investigate this hypothesis using the paired-sample sign test. Each of 14 children threw a ball as far as they could before and after lunch. The distances in meters are tabulated below. Test the researcher's hypothesis at α = 0.05.
You may use the following abbreviated table of critical values for the sign test (one tailed, = .05) , taken from Table J in the text:

A) The data supports the claim (rejects null hypothesis) because the test value 6 is more than the critical value 5.
B) The data does not support the claim (does not reject the null hypothesis) because the test value 4 is more than the critical value 3.
C) The data does not support the claim (does not reject the null hypothesis) because the test value 4 is less than the critical value 10.
D) The data does not support the claim (does not reject the null hypothesis) because the test value 6 is equal to the critical value 6.