Question

For each of the following situations, find the critical value(s) for z or t.

a) H0: p=0.8 vs. HA: p not=0.8 at alpha=0.01

b) H0: p=0.3 vs. HA: p>0.3 at alpha=0.01

c) H0: mu=10 vs. HA: mu not=10 at alpha=0.01; n=46

d) H0: p=0.8 vs. HA: p>0.8 at alpha=0.10; n=350

e) H0: mu=20 vs. HA: <20 at alpha-0.01; n=1000

Answer #1

For each of the following situations, find the critical
value(s) for z or t.
a) H0: p equals 0.1 vs. HA: p not equals 0.1 at alpha equals
0.05
b) H0: p equals 0.7 vs. HA: p greater than 0.7 at alpha equals
0.10
c) H0: mu equals 40 vs. HA: mu not equals 40 at alpha equals
0.10; n equals 34
d) H0: p equals 0.1 vs. HA: p greater than 0.1 at alpha
equals 0.05;...

For each of the following situations, find the critical
value(s) for z or t.
a) H0: p=0.30 vs. HA: p≠0.30 at α=0.01
b) H0: p=0.20 vs. HA: p>0.20 at α=0.05
c) H0: μ=30 vs. HA: μ≠3030 at α=0.05; n=39
d) H0: p=0.30 vs. HA: p>0.3 at α=0.10; n=345
e) H0: μ=60 vs. HA: μ<60 at α=0.05; n=1000

For each of the following situations, find the critical
value(s) for z or t. a) H0: rhoρequals=0.80.8 vs. HA: rhoρnot
equals≠0.80.8 at alphaαequals=0.050.05 b) H0: rhoρequals=0.30.3
vs. HA: rhoρgreater than>0.30.3 at alphaαequals=0.050.05 c)
H0: muμequals=3030 vs. HA: muμnot equals≠3030 at
alphaαequals=0.050.05; nequals=2929 d) H0: rhoρequals=0.80.8 vs.
HA: rhoρgreater than>0.80.8 at alphaαequals=0.010.01;
nequals=345345 e) H0: muμequals=6060 vs. HA: muμless
than<6060 at alphaαequals=0.050.05; nequals=1000

Find the critical value of the chi-square distribution for each
of the following situations:
HA: σ2 > 0.25, n = 10, α = 0.05
HA: σ2 > 20, n = 20, α = 0.025
HA: σ2 ≠ 0.25, n = 10, α = 0.10

Find the critical value of the chi-square distribution for each
of the following situations:
1. HA: σ^2 > 0.25, n = 10, α = 0.05
2. HA: σ^2 > 20, n = 20, α = 0.025
3. HA: σ^2 ≠ 0.25, n = 10, α = 0.10

Consider the following hypotheses:
H0: μ ≤ 350
HA: μ > 350
Find the p-value for this test based on the following sample
information. (You may find it useful to reference the appropriate
table: z table or t table)
a. x¯x¯ = 363; s = 29; n =
18
( ) p-value < 0.01
( ) p-value 0.10
( ) 0.01 p-value < 0.025
( ) 0.05 p-value < 0.10
( ) 0.025 p-value < 0.05
b. x¯ = 363;...

Find z* for each of these situations, taking into account
whether the test is one-sided or two-sided. Then find
the p-value, indicating its relation to alpha. Finally, determine
if the hypothesis test would lead to rejection of the null.
Test statistic(z) = -1.19,
Ho : p = .20, Ha : p ≠
.20, α = .10

you are calculating a confidence interval for the population
mean. Find the critical value t* from the t-Distribution Critical
Values table for each of the following situations
A 95% confidence interval based on n = 12 observations.
A 99% confidence interval from a sample of two observations.
A 90% confidence interval from a sample of size 1001.
2. Suppose you conduct a hypothesis test for the following
hypotheses from a sample of n = 25 observations, and you calculate
a...

9-5 Consider the following hypotheses:
H0: μ = 73
HA: μ ≠ 73
Find the p-value for this test based on the following
sample information. (You may find it useful to reference
the appropriate table: z table or t
table)
a. x¯x¯ = 70; s = 6.9; n =
35
0.05 p-value < 0.10
0.02 p-value < 0.05
p-value 0.10
p-value < 0.01
0.01 p-value < 0.02
b. x¯x¯ = 76; s = 6.9; n =
35
0.01 p-value < 0.02
p-value < 0.01
p-value 0.10...

Use the t-distribution table to find the critical value(s) for
the indicated alternative hypotheses, level of significance
alpha, and sample sizes n 1 and n 2. Assume that the samples are
independent, normal, and random. Answer parts (a) and (b). Upper
H Subscript a: mu 1 not equals mu 2, alphaequals0.20, n
1equals10, n 2equals2 (a) Find the critical value(s) assuming
that the population variances are equal. nothing (Type an integer
or decimal rounded to three decimal places as needed....

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