Question

Given ?0: ?1 = ?2, for which confidence interval should you reject ?0?

A. (−2.001,−1.873) B. (−1.968,1.561) C. (−1.673,1.892) D. (−2.209,0.209)

Answer #1

The confidence intervals in Options-B, C, D all contain 0 between their lower and upper limits.

If a confidence interval contains 0, that implies we do not have sufficient evidence to reject the null hypothesis

The confidence interval in Option-A does not passes through 0. Hence, the null hypothesis can be rejected.

Therefore, Option-A is the correct answer:

Given Ha: p > 0.20, for which confidence interval
should you reject H0?

Info from Dade Botanical Garden
Part 1) Given Ha: p < 0.20, for which confidence
interval should you reject H0?
Part 2) In another test of H0: μ = 40 against
Ha: μ ≠ 40, the sample data yielded the test statistic z
= 2.01. Find the p-value for this test. Round your answer to 4
decimal places.

a. We are testing H0: μ1 - μ2 =
0. Our 95% confidence interval is (-23.95,-7.41).
We should expect the t-statistic to be _____( greater than 2
/between 0 and 2/ between 0 and -2 /less than -2) .
We should expect the p-value to be _______ (less than .05/
greater than .05/ equal to .05).
We should ______(reject /fail to reject) H0
and conclude that the group 1 population average is _____(smaller/
larger) than the group 2 population average.
It...

Construct a confidence interval for p 1 minus p 2 at the given
level of confidence. x1 = 387, n1 = 511, x2 = 422, n2 = 553,
99% confidence.

Construct a confidence interval for p 1 minus p 2 at the given
level of confidence. x 1 equals366, n 1 equals509, x 2
equals404, n 2 equals554, 90% confidence The researchers are
nothing% confident the difference between the two population
proportions, p 1 minus p 2, is between nothing and nothing.

1) Find the critical value t (a/2) needed to construct a
confidence interval of the given level with the given sample size.
Round the answers to three decimal places
a) 98% sample size 11
critical value-
b) for level 95% and sample size 25
critical value-
c)for level 99% and sample size 14
2) a sample of size n equals 45 has a sample mean X equals 56.9
and sample standard deviation s equals 9.4.
construct a 99% confidence interval...

3. Which of the following confidence levels will yield the
smallest confidence interval?
a. 90% b. 95% c. 97% d. 99%

1. True or false? Given that a confidence
interval for µ is 13 + 5.
a. The value of 13 in this expression is
the point estimate.
b. The value 5 in this expression is the
estimate's standard error.
c. The value 5 in this expression is the
estimate's margin of error.
d. The width of the confidence interval
is 5.

Construct a confidence interval for p 1 minus p 2 at the given
level of confidence. x 1 equals 386, n 1 equals 516, x 2 equals
411, n 2 equals 595, 90 % confidence The researchers are nothing
% confident the difference between the two population
proportions, p 1 minus p 2 , is between nothing and nothing .
(Use ascending order. Type an integer or decimal rounded to three
decimal places as needed.)

Select the correct answer for the following two questions:
1.The length of a 95% confidence interval is _____ the length of
a 90% confidence interval
A. longer than
B. equal
C. shorter than
D. half
2. if a p-value for a hypothesis test = 0.02, that means that
approximately ___ of the time, we will correctly fail to reject a
true null hypothesis.
A. 2%
B. 98%
C. 95%
D. 5%

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