Question
In: Statistics and Probability
Consider a population proportion p = 0.22. [You may find it useful to reference the z...
Consider a population proportion p = 0.22. [You may find it useful to reference the z table.]
a. Calculate the standard error for the sampling distribution of the sample proportion when n = 18 and n = 60? (Round your final answer to 4 decimal places.)
b. Is the sampling distribution of the sample proportion approximately normal with n = 18 and n = 60?
c. Calculate the probability that the sample proportion is between 0.18 and 0.22 for n = 60. (Round "z-value" to 2 decimal places and final answer to 4 decimal places.)
Solutions
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orchestra answered 2 years agoRelated Solutions
Consider a population proportion p = 0.22. [You may find it useful to reference the z...
Consider a population proportion p = 0.22. [You may find it
useful to reference the z table.]
a. Calculate the standard error for the sampling distribution of
the sample proportion when n = 18 and n = 60? (Round your final
answer to 4 decimal places.)
b. Is the sampling distribution of the sample
proportion approximately normal with n = 18 and n
= 60?
c. Calculate the probability that the sample
proportion is between 0.18 and 0.22 for n...
Consider a population proportion p = 0.37. [You may find it useful to reference the z...
Consider a population proportion p = 0.37. [You
may find it useful to reference the z
table.]
a. Calculate the standard error for the
sampling distribution of the sample proportion when n = 10
and n = 75? (Round your final answer to 4 decimal
places.)
b. Is the sampling distribution of the sample
proportion approximately normal with n = 10 and n
= 75?
c. Calculate the probability that the sample
proportion is between 0.35 and 0.37 for n...
Consider the following regression results based on 20 observations. [You may find it useful to reference...
Consider the following regression results based on 20
observations. [You may find it useful to reference the t
table.]
Coefficients
Standard Error
t Stat
p-value
Intercept
30.8201
4.6053
6.692
0.000
x1
0.3302
0.1804
1.830
0.084
a-1. Choose the hypotheses to determine if the
intercept differs from zero.
H0: β0 ≥ 0;
HA: β0 < 0
H0: β0 ≤ 0;
HA: β0 > 0
H0: β0 = 0;
HA: β0 ≠ 0
a-2. At the 5% significance level, what is the...
Consider the following regression results based on 20 observations. [You may find it useful to reference...
Consider the following regression results based on 20
observations. [You may find it useful to reference the t
table.]
Coefficients
Standard Error
t Stat
p-value
Intercept
31.4333
4.5131
6.965
0.000
x1
0.1987
0.1470
1.352
0.193
a-1. Choose the hypotheses to determine if the
intercept differs from zero.
H0: β0 ≤ 0;
HA: β0 > 0
H0: β0 ≥ 0;
HA: β0 < 0
H0: β0 = 0;
HA: β0 ≠ 0
a-2. At the 5% significance level, what is the...
Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference...
Consider the following competing hypotheses and accompanying
sample data. (You may find it useful to reference the
appropriate table: z table or t
table)
H0: μ1 –
μ2 = 5
HA: μ1 –
μ2 ≠ 5
x−1x−1 = 57
x−2x−2 = 43
s1= 21.5
s2= 15.2
n1 = 22
n2 = 18
Assume that the populations are normally distributed with equal
variances.
a-1. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and...
Find the following z values for the standard normal variable Z. (You may find it useful...
Find the following z values for the standard normal
variable Z. (You may find it
useful to reference the
z table. Negative values should be
indicated by a minus sign. Round your answers to 3 decimal
places.)
a.
P(Z ≤ z) = 0.1002
b.
P(z ≤ Z ≤ 0) = 0.121
c.
P(Z > z ) = 0.8204
d.
P(0.36 ≤ Z ≤ z) =
0.3458
explain
Find the following z values for the standard normal variable Z. (You may find it useful...
Find the following z values for the standard normal
variable Z. (You may find it
useful to reference the
z table. Negative values should be
indicated by a minus sign. Round your answers to 3 decimal
places.)
a.
P(Z ≤ z) = 0.1002
b.
P(z ≤ Z ≤ 0) = 0.121
c.
P(Z > z ) = 0.8204
d.
P(0.36 ≤ Z ≤ z) =
0.3458
explain
A sample of 120 results in 30 successes. [You may find it useful to reference the...
A sample of 120 results in 30 successes. [You may find
it useful to reference the z table.]
a. Calculate the point estimate for the population
proportion of successes. (Do not round intermediate
calculations. Round your answer to 3 decimal
places.)
b. Construct 95% and 90% confidence intervals
for the population proportion. (Round intermediate
calculations to at least 4 decimal places. Round "z" value
and final answers to 3 decimal places.)
confidence intervals 95%
Confidence intervals 90%
c. Can we...
A sample of 115 results in 46 successes. [You may find it useful to reference the...
A sample of 115 results in 46 successes. [You may find
it useful to reference the z table.]
a. Calculate the point estimate for the population
proportion of successes. (Do not round intermediate
calculations. Round your answer to 3 decimal
places.)
Point estimate
b. Construct 90% and 99% confidence intervals
for the population proportion. (Round intermediate
calculations to at least 4 decimal places. Round "z" value
and final answers to 3 decimal places.)
Confidence Level
Confidence Interval
90%
to
99%...
A multinomial experiment produced the following results: (You may find it useful to reference the appropriate...
A multinomial experiment produced the following results:
(You may find it useful to reference the appropriate table:
chi-square table or F table)
Category
1
2
3
4
5
Frequency
87
52
89
88
79
a. Choose the appropriate alternative
hypothesis to test if the population proportions differ.
a All population proportions differ from 0.20.
b Not all population proportions are equal to 0.20.
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places...
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