Question

n order to conduct a hypothesis test for the population proportion, you sample 290 observations that result in 87 successes. (You may find it useful to reference the appropriate table: z table or t table) H0: p ≥ 0.35; HA: p < 0.35.

a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

a-2. Find the p-value. p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10

a-3. At the 0.05 significance level, What is the conclusion? Reject H0 since the p-value is greater than significance level. Reject H0 since the p-value is smaller than significance level. Do not reject H0 since the p-value is greater than significance level. Do not reject H0 since the p-value is smaller than significance level.

a-4. Interpret the results at α = 0.05 We conclude that the population mean is less than 0.35. We cannot conclude that the population mean is less than 0.35. We conclude that the population proportion is less than 0.35. We cannot conclude that the population proportion is less than 0.35. H0: p = 0.35; HA: p ≠ 0.35.

b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b-2. Find the p-value. p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10

b-3. At the 0.05 significance level, What is the conclusion? Reject H0 since the p-value is greater than significance level. Reject H0 since the p-value is smaller than significance level. Do not reject H0 since the p-value is greater than significance level. Do not reject H0 since the p-value is smaller than significance level.

b-4. Interpret the results at α = 0.05. We conclude that the population mean differs from 0.35. We cannot conclude that the population mean differs from 0.35. We conclude the population proportion differs from 0.35. We cannot conclude that the population proportion differs from 0.35.

Answer #1

a-1)

pcap = 87/290 = 0.3

Test statistic,

z = (pcap - p)/sqrt(p*(1-p)/n))

z = (0.3 - 0.35)/sqrt(0.35 * 0.65/290)

z = -1.79

a-2)

p-value < 0.05

a-3)

Reject H0 since the p-value is smaller than significance level

a-4)

We conclude that the population proportion is less than 0.35.

b-1)

pcap = 87/290 = 0.3

Test statistic,

z = (pcap - p)/sqrt(p*(1-p)/n))

z = (0.3 - 0.35)/sqrt(0.35 * 0.65/290)

z = -1.79

b-2)

0.05 < p-value < 0.10

b-3)

Do not reject H0 since the p-value is greater than significance
level

b-4)

We cannot conclude that the population proportion differs from
0.35.

In order to conduct a hypothesis test for the population
proportion, you sample 450 observations that result in 189
successes. (You may find it useful to reference the appropriate
table: z table or t table) H0: p ≥ 0.45; HA: p < 0.45. a-1.
Calculate the value of the test statistic. (Negative value should
be indicated by a minus sign. Round intermediate calculations to at
least 4 decimal places and final answer to 2 decimal places.) a-2.
Find the p-value....

In order to conduct a hypothesis test for the population
proportion, you sample 290 observations that result in 87
successes. (You may find it useful to reference the appropriate
table: z table or t table)
a1) H0: p ≥ 0.36; HA: p < 0.36. a-1. Calculate the
value of the test statistic.
Test statistic:
a2) Find the p-value
a. p-value 0.10
b. p-value < 0.01
c. 0.025 p-value < 0.05
d. 0.05 p-value < 0.10
a-4 Interpret the results at αα = 0.01...

In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 13.9 and 1.6, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 13.0 against
HA: μ > 13.0
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...

In order to conduct a hypothesis test for the population mean, a
random sample of 28 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 17.9 and 1.5, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 17.5 against
HA: μ > 17.5
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...

In order to conduct a hypothesis test for the population mean, a
random sample of 20 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 10.5 and 2.2, respectively.
(You may find it useful to reference the appropriate table: z table
or t table).
H0: μ ≤ 9.6 against HA: μ > 9.6
a-1. Calculate the value of the test statistic. (Round all
intermediate calculations to at least 4 decimal...

In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 4.8 and 0.8, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table)
H0: μ ≤ 4.5 against
HA: μ > 4.5
a-1. Calculate the value of the
test statistic. (Round all intermediate calculations to at
least 4 decimal...

Consider the following hypotheses: H0: μ ≥ 208 HA: μ < 208 A
sample of 80 observations results in a sample mean of 200. The
population standard deviation is known to be 30. (You may find it
useful to reference the appropriate table: z table or t table) a-1.
Calculate the value of the test statistic. (Negative value should
be indicated by a minus sign. Round intermediate calculations to at
least 4 decimal places and final answer to 2 decimal...

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: p1 −
p2 ≥ 0
HA: p1 −
p2 < 0
x1 = 250
x2 = 275
n1 = 400
n2 = 400
a. Calculate the value of the test statistic.
(Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4 decimal places and final
answer to 2 decimal...

1. Consider the following hypotheses:
H0: μ = 420
HA: μ ≠ 420
The population is normally distributed with a population standard
deviation of 72.
a-1. Calculate the value of the test statistic
with x−x− = 430 and n = 90. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
a-2. What is the conclusion at the 1% significance
level?
Reject H0 since the p-value is less
than the significance level....

Consider the following hypotheses: H0: μ ≤ 76.7 HA: μ > 76.7
A sample of 41 observations yields a sample mean of 78.0. Assume
that the sample is drawn from a normal population with a population
standard deviation of 4.4. (You may find it useful to reference the
appropriate table: z table or t table) a-1. Find the p-value. 0.05
p-value < 0.10 p-value 0.10 p-value < 0.01 0.01 p-value <
0.025 0.025 p-value < 0.05 a-2. What is the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 9 minutes ago

asked 31 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 34 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago