Please Provide correct answers for all questions! thank you Find the standardize
ID: 3231495 • Letter: P
Question
Please Provide correct answers for all questions! thank you
Find the standardized test statistic t for a sample with n = 20, x = 7.9, s = 2.0, and alpha = 0.05 if H_a: mu 20. A) 1.997 B) 1.239 C) 1.667 D) 1.452 Determine the critical value, z_a/2, to test claim about the population proportion p notequalto 0.325 given n = 42 and p = 0.247. Use alpha = 0.05. A) plusminus 1.96 B) plusminus 2.33 C) plusminus 1.645 D) plusminus 2.575 Determine the standardized test statistic, z, to test the claim about the population proportion p > 0.4038 given n = 50 and p = 0.5. Use alpha = 0.01. A) -2.1800001 B) -1.36 C) -1.28 D) -3.01 The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 200 business students were randomly sampled and 65 have PC's at home. Find the rejection region for this test using a. = 0.01. A) Reject H_1 if z 2.33. C) Reject H_0 if z > 2.575 or zExplanation / Answer
Answer:
32).
A. -0.894
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
8.3
Level of Significance
0.05
Sample Size
20
Sample Mean
7.9
Sample Standard Deviation
2
Intermediate Calculations
Standard Error of the Mean
0.4472
Degrees of Freedom
19
t Test Statistic
-0.8944
Lower-Tail Test
Lower Critical Value
-1.7291
p-Value
0.1911
Do not reject the null hypothesis
33).
C). 1.667
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
20
Level of Significance
0.005
Sample Size
25
Sample Mean
21
Sample Standard Deviation
3
Intermediate Calculations
Standard Error of the Mean
0.6000
Degrees of Freedom
24
t Test Statistic
1.6667
Upper-Tail Test
Upper Critical Value
2.7969
p-Value
0.0543
Do not reject the null hypothesis
34).
A. ±1.96
35). Test statistic =1.39
Hypothesis test for proportion vs hypothesized value
Observed
Hypothesized
0.5
0.4038
p (as decimal)
25/50
20/50
p (as fraction)
25.
20.19
X
50
50
n
0.0694
std. error
1.39
z
.0828
p-value (one-tailed, upper)
36). B. Reject Ho if z >2.33
37). D. 0.0164
38). C. No assumptions are necessary.
39). D. 1.33
Z Test of Hypothesis for the Proportion
Data
Null Hypothesis p =
0.9
Level of Significance
0.05
Number of Items of Interest
94
Sample Size
100
Intermediate Calculations
Sample Proportion
0.94
Standard Error
0.0300
Z Test Statistic
1.3333
Lower-Tail Test
Lower Critical Value
-1.6449
p-Value
0.9088
Do not reject the null hypothesis
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
8.3
Level of Significance
0.05
Sample Size
20
Sample Mean
7.9
Sample Standard Deviation
2
Intermediate Calculations
Standard Error of the Mean
0.4472
Degrees of Freedom
19
t Test Statistic
-0.8944
Lower-Tail Test
Lower Critical Value
-1.7291
p-Value
0.1911
Do not reject the null hypothesis