Question

A coin toss is used to decide which team gets the ball first in football games. In 51 Super bowls the NFC has won the coin toss 35 times. Using .01 level of significance to test whether this data suggests a fair coin flip.

a. What is the null and alternative hypotheses?

b. Is this a two-tailed or one-tailed test?

c. Which distribution should we use? Normal or Student t

d. What is the critical value(s)? (the line in the sand values)

e. What is your test statistic value?

f. What is the p-value?

g. What is your decision regarding the null hypothesis

Answer 1

a)

null Hypothesis:               Ho:		p	=	0.500
alternate Hypothesis:    Ha:		p	≠	0.500

b)

  two-tailed test

c)

Normal

d)

critical value(s) =-2.576 , 2.576

e) test statistic=2.66

f)

p value =0.0078

g)

reject the null hypothesis