Question

The p-value and the value of α for a test of H_{o}: μ =
150 are provided for each part. Make the appropriate
conclusion regarding H_{o.}

- P-value = .217, α = .10
- P-value = .033, α = .05
- P-value = .001, α = .05
- P-value = .866, α = .01
- P-value = .025, α = .01

Answer #1

Decision based on P value

Reject null hypothesis if P value < α level of significance

Part a)

P value = 0.217, α = 0.10

P - value = 0.217 > 0.10 ,hence we fail to reject null
hypothesis

Conclusion :- We fail to reject H0

Part b)

P value = 0.033, α = 0.05

P - value = 0.033 < 0.05 ,hence we reject null hypothesis

Conclusion :- We reject H0

Part c)

P value = 0.001, α = 0.05

P - value = 0.001 < 0.05 ,hence we reject null hypothesis

Conclusion :- We reject H0

Part d)

P value = 0.866, α = 0.01

P - value = 0.866 > 0.01 ,hence we fail to reject null
hypothesis

Conclusion :- We fail to reject H0

Part e)

P value = 0.025, α = 0.01

P - value = 0.025 > 0.01 ,hence we fail to reject null
hypothesis

Conclusion :- We fail to reject H0

The p-value and the value of α for a test of Ho: μ =
150 are provided for each part. Make the appropriate
conclusion regarding Ho.
P-value = .217, α = .10
P-value = .033, α = .05
P-value = .001, α = .05
P-value = .866, α = .01
P-value = .025, α = .01

Find test statistic and P VALUE and make conclusion for
PROPORTION: x=35, n=200, Ho: p=25%, H1: p<25%, confidence
level=0.05
Find test statistic and P VALUE and make conclusion for MEAN:
x̄=37, s=10.2, n=30, Ho: μ=32, H1: μ≠32, confidence level=0.01
Find test statistic AND P VALUE and make conclusion for TWO
PROPORTIONS: x1 = 6, n1 = 315, x2 = 80, n2 = 320, Ho: p1 = p2, HA:
p1 < p2, α = 0.1

1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠
15 A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3. a. Compute the value of the test
statistic. b. What is the p value? c. At α = 0.05, what is the
rejection rule using the critical value? What is your
conclusion?
2. Consider the following hypothesis test: Ho: μ ≤ 51 H1: μ >
51 A sample...

1. Consider the following hypothesis test: Ho: μ = 15 H1: μ ≠
15
A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3.
a. Compute the value of the test statistic. b. What is the p
value? c. At α = 0.05, what is the rejection rule using the
critical value? What is your conclusion?

In a test of the hypothesis Ho: μ = 50
versus Ha: μ ≠ 50,
with a sample of n = 100 has a Sample Mean = 49.4 and Sample
Standard Deviation, S = 4.1.
(a) Find the p-value for the test. (b)
Interpret the
p-value for the test, using
an α =
0.10.

We adopt α=.05 and test the hypothesis Ho: μx=50. What
conclusion should we draw if... (a) n=10, tcalc = +2.10, and Ha: μx
≠ 50? (b) n=20, tcalc = +2.10, and Ha: μx ≠ 50? (c) n=10, tcalc =
+2.10, and Ha: μx > 50? Show the critical value of t for each
part.

Consider a test of H0: μ=75 performed with the computer. The
software reports atwo-tailed p-value of 0.1032.
Make the appropriate conclusion for each of the following
situations.
a Ha:μ<75, z=−1.63,α=0.05
b. Ha:μ<75, z=1.631,α=0.07
c.Ha:μ>75, z=1.63, α=0.07
d. Ha:μ≠75, z=−1.63, α=0.01
a. Choose the correct answer below.
A) There is sufficient evidence to reject H0.
B) There is insufficient evidence to reject H0.

In order to test HO: p = 0.59 versus H1: p
< 0.59, use n = 150 and x = 78 as your sample
proportion.
Using your TI 83/84 calculator device, find the P-value with the
appropriate Hypothesis Test
Use a critical level α = 0.05 and decide to Accept or Reject
HO with the valid reason for the decision.

Consider the Ho: μ=45; n=48; s=18; α=5%. Write the
rejection rule for the appropriate test statistic.

Test the following hypotheses by using the χ 2
goodness of fit test.
H 0:
p A = 0.2, p B = 0.4,
and p C = 0.4
Ha:
The population proportions are not
p A = 0.2 , p B = 0.4 ,
and p C = 0.4
A sample of size 200 yielded 40 in category A, 120 in category
B, and 40 in category C. Use = .01 and test to see
whether the proportions are as stated...

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