Question

Part 1 Hypothesis Test and Confidence Interval from 1 sample

Test ONE claim about a population parameter by collecting your
own data or using our class survey data. Include your
**written claim**, **hypothesis** in both
symbolic and written form, relevant **statistics**
(such as sample means, proportions etc.), **test
statistic**, **p-value (or critical value)**,
**conclusion**, and **interpretation** of
your conclusion in the context of your claim. Use a 0.05
significance level.

You will also **construct a 95% confidence interval
estimate** of your population parameter tested above and
write brief statement about how the interval validates or
invalidates the claim you tested.

Examples of potential Hypotheses:

• Test the claim that the proportion of brown M&Ms in a minibag of candies is 5%.

• Test the claim the proportion of your friends on Facebook who post something everyday is less than 42%.

• Test the claim that the mean pulse rate of a person is less 75 beats per minute.

• Test the claim that the mean wait time in line at your favorite coffee shop is greater than 2 minutes.

Part 2 Hypothesis Test and Confidence Interval from 2 samples of PAIRED Data

Test ONE claim about the mean difference in a population of
paired data. Collect your own data or use our class survey data.
Include your **written claim**,
**hypothesis** in both symbolic and written form,
relevant **statistics** (such as sample mean of the
difference, standard deviation of the differences and sample (pair)
size), **test statistic**, **p-value**
(or **critical value method)**,
**conclusion**, and **interpretation** of
your conclusion in the context of your claim. Use a 0.05
significance level.

You will also **construct a 95% confidence interval
estimate** of your population parameter tested above and
write brief statement about how the interval validates or
invalidates the claim you tested.

*(Include at least 15 pairs of data)*

*Here are some examples of paired data:*

- A healthy person's average body temperature is warmer in the morning than in the evening.
- The mean number of apps on a wife's phone is greater than the mean number of apps on her husband's phone.
- The mean pinkie length of people's left hand is shorter than their right hand.
- The average number of pets a person has is greater than the average number of children they have.
- A person's height is the same length as their arm span

Answer #1

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.

We perform a hypothesis test to
test a statement about the population, and determine whether
that population does or does not support the sample information
test a statement about a sample statistic
develop a confidence interval for a population parameter
test a statement about a population parameter, and determine
whether the sample evidence supports that statement as a chosen
level of significance.

Hypothesis Test for the Difference in Population Means
(σσ Unknown)
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. Let's assume that the
variances of the two populations are not equal. You obtain the
following two samples of data.
Sample #1
60
62.8
60.2
48.5
61.8
52.7
65.1
66.3
71.4
72.2
63.8
59.5
70.5
58.3
79.6
57.4...

Hypothesis Test for a Population Mean (σσ is
Unknown)
You wish to test the following claim (HaHa) at a significance level
of α=0.10α=0.10.
Ho:μ=77.2Ho:μ=77.2
Ha:μ≠77.2Ha:μ≠77.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=83n=83
with mean M=78.9M=78.9 and a standard deviation of
SD=13.7SD=13.7.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this...

Test the following claim. Identify the null hypothesis,
alternative hypothesis, test statistic, critical value(s),
conclusion about the null hypothesis, and final conclusion that
addresses the original claim. A manual states that in order to be
a hit, a song must be no longer than three minutes and thirty
seconds (or 210 seconds). A simple random sample of 50 current
hit songs results in a mean length of 250.0 sec. Assume the
population standard deviation of song lengths is 54.5 sec....

Hypothesis Test and
Confidence Interval for One Mean
1. A report by the Gallup Poll found that a woman visits her
doctor, on average, at most 5.8 times each year. A random sample of
20 women results in these yearly visit
totals.
Data: 4; 2; 1; 3; 7; 2; 9; 4; 6; 6; 7; 0; 5; 6; 4; 2; 1; 3; 4;
2
a. At the α = 0.05 level can it be concluded that the
sample mean is...

Your task is to pick a hypothesis to test about a population
proportion (section 8.2) or a population mean (section 8.3). Once
you have determined your hypothesis you must go and collect the
data. Make sure your sample meets the requirements of a test
presented in sections 8.2 and 8.3 (such as appropriate sample
size). Use a 0.05 significance level.
Please clearly state the null and alternative hypotheses in
symbolic form and in words. State any relevant statistics from your...

Gather a sample of the proportion of drivers that drive a maroon
vehicle. Test the claim that the proportion is greater than 5%.
Gather this data by observing and counting the number of vehicles
on different roadways and count how many of them are maroon. Try to
get a sample size of n=100, or thereabouts. Conduct a hypothesis
test for your data at a significance level of 0.05 and construct a
95% confidence interval for the true population proportion.

Think about a population mean that you may be interested in and
propose a confidence interval problem for this parameter. Your data
values should be approximately normal.
For example, you may want to estimate the population mean number
of times that adults go out for dinner each week. Your data could
be that you spoke with seven people you know and found that they
went out 1, 4, 2, 3, 2, 0, and 5 times last week. You then would...

Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, conclusion about the null hypothesis, and final
conclusion that addresses the original claim. Test the claim that
the mean lifetime of car engines of a particular type is greater
than 220,000 miles. Sample data are summarized as n = 23, ?̅ =
226,450 miles, and s = 11,500 miles. Use a significance level of ?
= 0.01.

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