Question

A poll of a random sample of 2530 people found that 70% said that religion is at least "somewhat important" in their lives. The screen shot to the right shows how a calculator reports the results of a significance test for which the alternative hypothesis is that a majority of people believe religion is at least "somewhat important" in their lives. State and interpret the five steps of a significance test in this context, using information shown in the screenshot to provide the particular values for the hypothesis, test statistic, and P-value. Given data- 1-PropZTest prop > 0.50 z=20.12 , p=2.68e-90 , p^=0.70 , n=2530 a) is the response a categorical variable, with a defined population proportion? b) Is n large enough to expect at least 15 successes and 15 failures? c) State the null hypothesis. d) State the alternative hypothesis. e) The sample proporiton p^ for n=2530 is 0.70, find the test statistic z= ____. f) what is the P-value? |

Answer #1

According to a reputable magazine,
34%
of people in a certain large country have sleepwalked at least
once in their lives. Suppose a random sample of
200
people showed that
44
reported sleepwalking. The null and alternative hypotheses for a
test that would test whether the proportion of people who have
sleepwalked is
0.34
are
H0:p=0.34
and
Ha: p≠0.34
respectively. The conditions for such a test are satisfied. Use
the technology output provided to determine the test statistic and
p-value...

Is too much running hazardous to your health? A
random sample of 32 ultra-runners lives to the age of
75. The average life expectancy in the U.S. is 79 with a
standard deviation of 8.7
years.
State the appropriate null and alternative
hypotheses.
Compute the z-test statistic.
Use the z-test statistic to draw and shade a normal
distribution, indicating relevant rejection zone(s).
What is the p-value associated with the hypothesis
test?
Explain the results of your hypothesis test, using relevant
confidence levels.

Questions D-F
d) You conduct a hypothesis test for the
population proportion. After you calculate the z test statistic,
you find that your p-value = 0.059. Using alpha (α) = 0.05 level of
significance, what is your decision regarding the null hypothesis?
Choose from the following.
- Reject the null hypothesis and reject the alternative
hypothesis
- Accept the null hypothesis
- Do not reject the null hypothesis
- Reject the null hypothesis and accept the alternative
hypothesis
e) You...

You would like to
determine if the population probability of success differs from
0.70. You find 62 successes in 80 binomial trials. Implement the
test at the 1% level of significance. (You may find it
useful to reference the appropriate table: z table
or t table)
a.
Select the null and the alternative hypotheses.
H0: p = 0.70;
HA: p ≠ 0.70
H0: p ≤ 0.70;
HA: p > 0.70
H0: p ≥ 0.70;
HA: p < 0.70
b.
Calculate...

In a recent poll of 745 randomly selected adults, 586 said that
it is morally wrong to not report all income on tax returns. Use a
0.01 significance level to test the claim that 75% of adults say
that it is morally wrong to not report all income on tax returns.
Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, conclusion about the null hypothesis, and
final conclusion that addresses the original claim. Use the
P-value method. Use the normal...

In a recent poll of 745 randomly selected adults, 586 said that
it is morally wrong to not report all income on tax returns. Use a
0.05 significance level to test the claim that 75% of adults say
that it is morally wrong to not report all income on tax returns.
Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, conclusion about the null hypothesis, and
final conclusion that addresses the original claim. Use the
P-value method. Use the normal...

A computer manufacturer is testing a batch of processors. They
place a simple random sample of processors from the batch under a
stress test and record the number of failures, their guidelines
specify the percentage of failures should be under 4%. Of the 300
processors tested, there were 54 failures. a)State the hypotheses
for the test. Assume the manufacturer wants to assume there is a
problem with a batch, that is, they will only accept that there are
fewer than...

A random sample of 103 students and 65 said they exercise
regularly. Is this enough to say that 75% of the students exercise
regularly?
State your null hypothesis and alternative hypothesis.
Calculate the test statistic.
Find the p-value.
Is this enough to claim 75% of the students exercise
regularly?

1. A computer manufacturer is testing a batch of processors.
They place a simple random sample of processors from the batch
under a stress test and record the number of failures, their
guidelines specify the percentage of failures should be under 4%.
Of the 300 processors tested, there were 54 failures. (a) State the
hypotheses for the test. Assume the manufacturer wants to assume
there is a problem with a batch, that is, they will only accept
that there are...

1. A computer manufacturer is testing a batch of processors.
They place a simple random sample of processors from the batch
under a stress test and record the number of failures, their
guidelines specify the percentage of failures should be under 4%.
Of the 300 processors tested, there were 54 failures.
(a) State the hypotheses for the test. Assume the manufacturer
wants to assume there is a problem with a batch, that is, they will
only accept that there are...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 31 minutes ago

asked 52 minutes ago

asked 55 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago