Question

# STA2023 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question....

STA2023

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) The P-value for a hypothesis test is P = 0.029. Do you reject or fail to reject H0 when the level of significance is ΅
= 0.01?
A) reject H0
B) not sufficient information to decide
C) fail to reject H0
2) The P-value for a hypothesis test is P = 0.085. Do you reject or fail to reject H0 when the level of significance is ΅
= 0.05?
A) fail to reject H0
B) not sufficient information to decide
C) reject H0
3) The P-value for a hypothesis test is P = 0.007. Do you reject or fail to reject H0 when the level of significance is ΅
= 0.01?
A) reject H0
B) not sufficient information to decide
C) fail to reject H0
4) Find the critical value and rejection region for the type of z-test with level of significance ΅.
Right-tailed test, ΅ = 0.01
A) z0 = 2.575; z > 2.575 B) z0 = 1.96; ; z > 1.96
C) z0 = 1.645; z > 1.645 D) z0 = 2.33; z > 2.33
5) Test the claim about the population mean µ at the level of significance ΅. Assume the population is normally
distributed.
Claim: µ > 35; ΅ = 0.05; Η = 1.2
Sample statistics: x = 35.3, n = 50
A) Fail to reject H0. There is not enough evidence at the 5% level of significance to support the claim.
B) Reject H0. There is enough evidence at the 5% level of significance to support the claim.
C) Not enough information to decide.
6) You wish to test the claim that µ > 17 at a level of significance of ΅ = 0.05 and are given sample statistics n = 50,
x = 17.3. Assume the population standard deviation is 1.2. Compute the value of the standardized test statistic.

7) Find the critical value and rejection region for the type of t-test with level of significance ΅ and sample size n.
Left-tailed test, ΅ = 0.05, n = 24
A) t0 = -2.807; t < -2.807 B) t0 = -1.714; t < -1.714
C) t0 = 1.714; t > 1.714 D) t0 = -1.711; t < -1.711
8) Find the critical value and rejection region for the type of t-test with level of significance ΅ and sample size n.
Right-tailed test, ΅ = 0.01, n = 32
A) t0 = 2.453; t > 2.453 B) t0 = 2.453; t < 2.453 C) t0 = 2.449; t > 2.449 D) t0 = 1.309; t > 1.309
9) Find the critical value and rejection region for the type of t-test with level of significance ΅ and sample size n.
Two-tailed test, ΅ = 0.01, n = 25
A) t0 = -2.797, t0 = 2.797; t < -2.797, t > 2.797 B) t0 = -2.492, t0 = 2.492; t < -2.492, t > 2.492
C) t0 = -2.787, t0 = 2.787; t < -2.787, t > 2.787 D) t0 = 2.797; t > 2.797
10) Find the standardized test statistic t for a sample with n = 12, x = 14.2, s = 2.2, and ΅ = 0.01 if H0: µ = 13. Round
A) 2.001 B) 1.890 C) 2.132 D) 1.991
11) Find the standardized test statistic t for a sample with n = 10, x = 8.7, s = 1.3, and ΅ = 0.05 if H0: µ L 9.6. Round
A) -2.617 B) -3.010 C) -2.189 D) -3.186
12) Determine whether the normal sampling distribution can be used. The claim is p = 0.015 and the sample size is
n = 150.
A) Use the normal distribution. B) Do not use the normal distribution.
13) Determine whether the normal sampling distribution can be used. The claim is p 0.132 and the sample size is
n = 48.
A) Use the normal distribution. B) Do not use the normal distribution.
14)Determine the critical value, z0, to test the claim about the population proportion p 0.700 given n = 50
and p = 0.612. Use ΅ = 0.10.
A) -1.96 B) -2.33 C) -1.645 D) -1.28
15)Determine the standardized test statistic, z, to test the claim about the population proportion p > 0.015 given
n = 150 and p = 0.027. Use ΅ = 0.01.
A) 1.06 B) 1.56 C) 1.21 D) 3.14