Question
In: Statistics and Probability
To test H0: ρ = 0 H1: ρ ≠ 0 a random sample of 22 observations...
To test
H0: ρ = 0 H1: ρ ≠ 0
a random sample of 22 observations yielded r = 0.23. What is your decision at a 0.05 significance level?
a. cannot reject H0 so we cannot say that there is a correlation.
b. reject H0 so we cannot say that there is no correlation.
c. reject H0 so there is correlation.
d. reject H0 so we cannot say that there is correlation
e. cannot reject H0 so there is no correlation.
Solutions
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query, please ask
orchestra answered 1 year agoRelated Solutions
o test H0:σ=1.2 versus H1: σ≠1.2, a random sample of size n=22 is obtained from a...
o test H0:σ=1.2 versus H1:
σ≠1.2, a random sample of size n=22 is obtained from
a population that is known to be normally distributed.
(a) If the sample standard deviation is
determined to be s=0.8, compute the test
statistic.
(b) If the researcher decides to test this
hypothesis at the α=0.10 level of significance, determine
the critical values.
(c) Will the researcher reject the null
hypothesis? Why?
that's all the question stated
To test H0: mean = 20 vs H1: mean < 20 a simple random sample of...
To test H0: mean = 20 vs H1: mean < 20
a simple random sample of size n = 18 is obtained from a population
that Is known to be normally distributed
(a) If x-hat = 18.3 and s = 4.3, compute the test statistic
(b) Draw a t-distribution with the area that represents the
P-value shaded
(c) Approximate and interpret the P-value
(d) If the researcher decides to test this hypothesis at the a =
0.05 level of significance,...
To test H0: p = 0.65 versus H1: p> 0.65, a simple random sample of n...
To test H0: p = 0.65 versus H1: p> 0.65, a simple random
sample of n = 100 individuals is obtained and x = 69 successes are
observed.
(a) What does it mean to make a Type II error for this
test?
(b) If the researcher decides to test this hypothesis at the alpha
= 0.01 level of significance, compute the probability of making a
Type II error if the true population proportion is 0.70. What is
the power of...
Suppose a test is performed to test H0: risk difference = 0 versus H1: risk difference ≠ 0, and the test rejects H0 at α = 0.05.
Part 1. Suppose a test is performed to test H0: risk difference = 0 versus H1: risk difference ≠ 0, and the test rejects H0 at α = 0.05. Then, we can conclude that there is real significant evidence (α = 0.05) of a difference in proportions, _____________________ evidence that the risk difference is not 0, and _____________________ evidence that the relative risk and odds ratio are not _________________. Choose between significant, not significant, 0, 1.
Part 2. Contrast...
To test H0 : σ=2.9 versus H1 : σ≠2.9, a random sample of size n=21 is...
To test H0 : σ=2.9 versus H1 : σ≠2.9, a random sample of size
n=21 is obtained from a population that is known to be normally
distributed.
(a) If the sample standard deviation is determined to be
s=2.6, compute the test statistic.
χ^2_0=____
(Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the
α=0.05 level of significance, determine the critical values.The
critical values are
χ^2_0.025=____ and χ^2_0.975=____.
(Round to three decimal places...
To test H0 : σ=2.9 versus H1 : σ≠2.9, a random sample of size n=21 is...
To test H0 : σ=2.9 versus H1 : σ≠2.9, a random sample of size
n=21 is obtained from a population that is known to be normally
distributed.
(a) If the sample standard deviation is determined to be
s=2.6, compute the test statistic.
χ^2_0=____
(Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the
α=0.05 level of significance, determine the critical values.The
critical values are
χ^2_0.025=____ and χ^2_0.975=____.
(Round to three decimal places...
1. To test H0: o=40 versus H1: o< 40, a random sample of sizen=29 is obtained...
1. To test H0: o=40 versus H1: o< 40, a random sample of
sizen=29 is obtained from a population that is known to be normally
distributed.
a. If the sample standard deviation is determined to
be s=36.2, compute the test statistic.
b. If the researcher decides to test this hypothesis at the a=
0.10 level of significance, use technology to determine the
P-value.
c. Will the researcher reject the null hypothesis?
2.To test H0: o=4.9 versus H1: o ≠ 4.9, a...
Determine the uniformly most powerful test of H0:θ≤1 versus H1:θ >1 for a random sample of...
Determine the uniformly most powerful test of H0:θ≤1 versus H1:θ
>1 for a random sample of 25 from N(0,θ), at the significance
level α=.05.
Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample...
Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample of
16 observations taken from this population produced a sample mean
of 75.2. The population is normally distributed with σ = 6.
a. Calculate the p-value.
b. Considering the p-value of part a, would you reject the null
hypothesis if the test were made at a significance level of
.01?
c. Find the critical value and compare it with the test
statistic. What would...
Consider the following hypothesis test. H0: = 20 H1: ≠ 20 The sample size...
Consider the following hypothesis test. H0: = 20 H1: ≠ 20
The sample size is 200 and the standard deviation of the population
is 10. Use a = 0.05. What is the probability of making the Type
II error if the real value of the population is:
a. μ = 18.0
b. μ = 22.5
c. μ = 21.0
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