Question

How does the population mean and proportion affect confidence intervals and hypothesis testing?

Answer #1

The population means and proportion does not affect confidence intervals because the confidence intervals are based on the sample mean and sample proportion.

The population means and proportion affect hypothesis testing depending on the difference between the hypothesized value and the population parameter. The more the difference between the hypothesized value and the population parameter is, the higher the test statistic is, and the lesser the p-value is.

Consider the non-parametric methods for
creating confidence intervals for a single mean and hypothesis
testing for a single mean. Answer each of the following questions
with one of the following options: confidence
interval estimation, hypothesis testing, both, or neither.
(1 point) Which method involves shifting the sample data?
(1 point) Which method creates a distribution that is centered
at the observed sample mean?
(1 point) Which method involves using sample data and sampling
with replacement?
(1 point) Which method requires...

What are three questions that you have about hypothesis testing
and confidence intervals?
What are two things that you've noticed about hypothesis testing
and confidence intervals?
What is one thing that you are wondering about hypothesis
testing and confidence intervals?

The procedures for (1) determining confidence intervals to
estimate the mean and (2) hypothesis testing based on the
difference between one sample mean and a test value or on the
difference between two sample means both rely on sampling
distributions. Explain why sampling distributions are important for
each procedure.

Consider the non-parametric methods for creating confidence
intervals for a single mean and hypothesis testing for a single
mean. Answer each of the following questions with one of the
following options: confidence interval estimation, hypothesis
testing, both, or neither.
a. (1 point) Which method involves shifting the sample data?
b. (1 point) Which method creates a distribution that is
centered at the observed sample mean?
c. (1 point) Which method involves using sample data and
sampling with replacement?
d. (1...

a.
How well do the 95% confidence intervals do at capturing the
true population mean when
samples sizes are small?
b. Does a larger sample size mean that the intervals are more
likely to capture the true population value? Why? Note THIS is
an
important concept and relates back to the Sampling Distribution
of Sample Means.

Describe the connection between confidence intervals and
hypothesis testing, in particular for single sample T tests.

A 95% confidence interval for a proportion is (0.103,0.297).
Test the hypothesis that the population proportion is greater than
0.25. Be sure to include the 4 steps of an hypothesis test.

1. Develop 90 %, 95 %, and 99% confidence intervals for
population mean (µ) when sample mean is 10 with the sample size of
100. Population standard deviation is known to be 5.
2. Suppose that sample size changes to 144 and 225. Develop
three confidence intervals again. What happens to the margin of
error when sample size increases?
3. A simple random sample of 400 individuals provides 100 yes
responses. Compute the 90%, 95%, and 99% confidence interval for...

This is the part of Statistics (Confidence Intervals for
Proportions and Testing Hypothesis About Proportions)
Please show and answer all the parts of this
question.
Along with interest rates, life expectancy is a component in
pricing financial annuities. Suppose that you know that last year's
average life expectancy was 77 years for your annuity holders. Now
you want to know if your clients this year have a longer life
expectancy, on average, so you randomly sample n=20 of your
recently...

Based on the confidence level used for your confidence
intervals, about how many of the 10,000 confidence intervals would
you expect to contain the population mean? Explain. How many of
your 10,000 confidence intervals actually did contain the
population mean? Did your 250th confidence interval contain the
population mean? Explain.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 17 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago