Question

If you flip a fair coin, the probability that the result is heads will be 0.50. A given coin is tested for fairness using a hypothesis test of H0:p=0.50H0:p=0.50 versus HA:p≠0.50HA:p≠0.50.

The given coin is flipped 240 times, and comes up heads 143 times. Assume this can be treated as a Simple Random Sample.

The test statistic for this sample is z=

The P-value for this sample is

If we change the significance level of a hypothesis test from 5% to 10%, which of the following will happen? Check all that apply.

A. The probability of a Type I error decreases.
B. It is more likely that the null hypothesis is true.
C. The probability of a Type II error decreases.
D. It is more likely that we reject the null hypothesis.
E. The probability of a Type II error increases.
F. The probability of a Type I error increases.
G. It is less likely that we reject the null hypothesis.
H. It is less likely the null hypothesis is true.

Answer 1

The statistical software output for this problem is:

Hence,

Test statistic = 2.9693

P - value = 0.0030

The following will be applicable if we change the significance level from 5% to 10%:

C. The probability of a Type II error decreases.

D. It is more likely that we reject the null hypothesis.

F. The probability of a Type I error increases.