Question

True/False, if false briefly explain.

1. The margin of error for a confidence interval used for an opinion poll does not take into account the fact that people who did not answer the poll questions may have had different responses from those who did answer the questions.

2. If the p-value for a significance test is 0.35, we can conclude that the null hypothesis has a 35% chance of being true.

3. A student project used a confidence interval to describe the results in a final report. The confidence level was 110%.

4. A z statistic is used to test the null hypothesis that p(hat1) = p(hat2).

5. If two sample proportions are equal, then the sample counts are equal

6. A 95% Confidence interval for the difference in two proportions includes errors due to non-response.

Answer #1

Ans:

1)**True**,margin of error include only sampling
error.

2)**False**

The **P value**, or
calculated probability, is the probability of finding the observed,
or more extreme, results when the null hypothesis of a study
question is true the **definition** of 'extreme'
depends on how the hypothesis is being tested.

3)**False**,confidence
level can not be above 100.

4)**False**,z statistic is used to test the
hypothesis i.e p_{1}=p_{2} i.e. population
proportions,not sample statistic.

5)**False**,sample successes and sample counts can
be different for equal sample proportions.

6)**False,**A 95% Confidence interval for the
difference in two proportions **doesn't include errors due to
non-response.**

True or False Questions
a. Suppose that (-0.47, -0.39) is a confidence interval for the
difference of proportions (p1 -
p2). This indicates that p1 is
greater than p2
b. If two variables are strongly correlated (r > 0.9 or r
< -0.9), we can say that the explanatory variable is causing the
response variable.
c. If two variables are negatively correlated this means that
when one increases the other tends to increase.
d. If p-value < ? then I...

True or False: For all hypothesis tests, a small p-value means
we will reject the null.
True or False: If you are testing the means of two groups, then
you would use ANOVA.
True or False: A two-sample confidence interval must capture
zero to show the groups are different.
True or False: The test statistic for ANOVA is the
f-statistic.
True or False: For Chi-Square tests, if the observed counts and
expected counts are extremely different, then we would have...

1. A higher p-value corresponds to higher confidence in the
stated result. True or False?
2. The function "errorbar()" is used to calculate standard
errors of means (which are often used in plots with error bars).
True or False?
3. For a given data set, the 80% confidence interval for the
mean is going to be larger than the 90% confidence interval for the
mean. True or False?
4. For a given data set, the 90% confidence interval for the...

True or False:
1. A confidence interval is used for estimating a population
parameter.
2. A confidence interval always captures the sample
statistic.
3. A confidence interval always captures the population
parameter.
4. When constructing a confidence intervals we should always use
Z-critical values.
5. The margin of error determines the center location of the
confidence interval.
6. In general, we would like to have a precise confidence
interval while having a high level of confidence.

Select the correct answer for the following two questions:
1.The length of a 95% confidence interval is _____ the length of
a 90% confidence interval
A. longer than
B. equal
C. shorter than
D. half
2. if a p-value for a hypothesis test = 0.02, that means that
approximately ___ of the time, we will correctly fail to reject a
true null hypothesis.
A. 2%
B. 98%
C. 95%
D. 5%

1. A confidence interval for the true slope b1 can never be used
to test if b1 is equal to 0. (True/ False)
2. The coefficient of determination is the percent of total
variation explained by the regression model. (True/ False)
3. The coefficient of determination can never be greater than 1.
(True/ False)
4. The predictor variable in regression analysis is referred to
as the independent variable. (True/ False)

For each of the following statements, identify whether the
statement is true or false, and explain why. Please limit each
response to no more than 3 sentences.
i) A p-value is the probability that the null hypothesis is
false. ii) A chi-square test statistic can never be negative.
iii) If we reject the null hypothesis that a population
proportion is equal to a specific value, then that specific value
will not be contained in the associated confidence interval.
iv) If...

Find the margin of error for the 95% confidence interval used to
estimate the population proportion.
12) In clinical test with 2349 subjects. 1232 showed
improvement from the treatment
Use the given degree of confidence and sample data to
construct a confidence interval for the population proportion
p
13) n=101,x=73;88 percent

1. TRUE or FALSE State whether the statement is true or false,
and also give a brief sentence explaining why you believe this.
(a) If we decrease the confidence level for a fixed n, we
decrease the width of the confidence interval.
(b) A research article reports that a 95% confidence interval
for mean reaction time is from 0.25 to 0.29 seconds. About 95% of
individuals will have reaction times in this interval.
c) In a hypothesis test, a p-value...

(42) – (45): True or False?
42) The sample statistic is at the center of a confidence
interval for that statistic.
43) In a hypothesis test, increasing the significance level
increases the chance of making a type 1 error.
44) Failure to reject the null hypothesis test in a hypothesis
test implies strong support for the null hypothesis.
45) When no prior belief about a population characteristic is
held, construction of a confidence interval, rather than the use of
hypothesis...

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