Answer to Question #146500 in Statistics and Probability for ken

Question

TRUE OR FALSE
1.The researcher can only make one claim on either the null hypothesis
or the alternative hypothesis in the traditional method of hypothesis
testing.

2. If the sample value fall in the critical region, the null hypothesis is

rejected.

3. A confidence interval is a range of values used to estimate the true

value of a population parameter.

4. If a sample mean is in the critical region with α = 0.05, it would
still be in the critical region even if the alpha was changed to
α = 0.01.

5. If a researcher obtains a test score of z = 2.43 for a hypothesis test
using α = 0.01, then the researcher should reject the null hypothesis
for a right-tailed test, however, the researcher should not reject the
null hypothesis for a two-tailed test.

Answer 1

1) True

The alternative hypothesis has a range of values that are alternatives to the one in the null hypothesis

2) True

3) True

4) False

Possibly not:

for α = 0.05 z=1.96 (two-sided)

for α = 0.01 z=2.58 (two-sided)

x can be lower than -1.96 and higher than -2.58

So, sample mean is in the critical region with α = 0.05, but it isn't in the critical region with α = 0.01.

5) True

For α = 0.01

Critical Value of Z (Right Tailed): 2.33; 2.43>2.33; should reject

Critical Value of Z (Two Tailed): ± 2.58; 2.43<2.58; should not reject