Question

For the data set

(−2,−1),(3,2),(6,5),(8,8),(11,11),(−2,−1),(3,2),(6,5),(8,8),(11,11),

carry out the hypothesis test

H0H1β1=0β1≠0H0β1=0H1β1≠0

Determine the value of the test statistic and the associated p-value.

Test Statistic =

p-Value =

Answer #1

The statistical software output for this problem is:

Hence,

Test statistics = **10.3333**

p - Value = **0.0019**

For the data set (?2,?3),(3,3),(6,4),(8,6),(12,9), carry out the
hypothesis test
H0H1?1=0?1?0
Determine the value of the test statistic and the associated
p-value.
Test Statistic =
p-Value =

For the data set (?2,?3),(3,3),(6,4),(8,6),(12,9), carry out the
hypothesis test
H0H1?1=0?1?0
Determine the value of the test statistic and the associated
p-value.
Test Statistic =
p-Value =

For the data set:
x
y
-3
-3
3
3
6
6
8
7
12
11
carry out the hypothesis test
H0:β1=0
H1:β1≠0
Determine the value of the test statistic and the associated
p-value.
Test Stat =
p-Val =

Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2
> 0 The following results are for two independent samples taken
from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 =
25.2 x2 = 22.8 σ1 = 5.2 σ2 = 6.0 a. What is the value of the test
statistic (round to 2 decimals)? b. What is the p-value (round to 4
decimals)? Use z-table. c. With = .05,...

1. To give you guided practice in carrying out a hypothesis test
about a population proportion. (Note: This hypothesis test is also
called a z-test for the population proportion.)
2. To learn how to use statistical software to help you carry
out the test.
Background: This activity is based on the
results of a recent study on the safety of airplane drinking water
that was conducted by the U.S. Environmental Protection Agency
(EPA). A study found that out of a...

1,) The p-value for a hypothesis test turns out to be 0.05147.
At a 6% level of significance, what is the proper decision?
Reject H0H0
Fail to reject H0
2.) The p-value for a hypothesis test turns out to be 0.03526.
At a 4% level of significance, what is the proper decision?
Reject H0H0
Fail to reject H0

Consider the following hypothesis test.
H0: 1
- 2≤ 0
Ha: 1
- 2> 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n 1 = 30
n 2 = 70
x 1 = 25.6
x 2 = 22.2
σ 1 = 5.3
σ 2 = 7
a. What is the value of the test statistic
(round to 2 decimals)?
b. What is the p-value (round to 4
decimals)? Use z-table. Use z-value rounded to...

For each of the following data sets, carry out a one-tailed
t-test, with α = 0.05, and the alternative hypothesis ????????: U1
> U2
In each case, give the p-value (if applicable) or explain why
the data are inconsistent with the alternative hypothesis. State
whether or not the null hypothesis is rejected.
a) Sample 1: n=10 , mean= 10.8
Sample 2: n= 10, mean= 10.5 df= 18 SE= 0.23
b) Sample 1: n= 100, mean 750
Sample 2: n=100, mean=...

Suppose you have a two sided hypothesis test, Ha:
? ? ?0 with a test statistic
z=2.70. Determine the p-value and give the decision of
this test. Use a 5% level of significance.
a) P-value of 0.0035, reject the null hypothesis.
b) P-value of 0.0035, fail to reject the null hypothesis.
c) P-value of 0.9931, fail to reject the null hypothesis.
d) P-value of 0.0069, reject the null hypothesis.

Question 1
Consider the following hypothesis test.
H0: 1
- 2= 0
Ha: 1
- 2≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n 1 = 35
n 2 = 40
x 1 = 13.6
x 2 = 10.1
s 1 = 5.5
s 2 = 8.2
a. What is the value of the test statistic (to
2 decimals)?
b. What is the degrees of freedom for the
t distribution? (Round down your answer to...

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