Question

A sample survey asked a random sample of 1498 adult Canadians, “Do you agree or disagree that all firearms should be registered?” Of the 1498 people in the sample, 1282 answered either “Agree strongly” or “Agree somewhat.” Assuming this survey can be considered an SRS of all adult Canadians, what is the proportion of all Canadians who agree (as described) that all firearms should be registered?

Your solution must include the following parts, in order. Point form is fine.

a) First answer each of these questions:

i) Does this call for a confidence interval or a hypothesis test?

ii) Is this 1 sample or 2 samples?

iii) Is this about mean(s) or proportion(s)?

iv) If this is about mean(s), do you know the SD of the population (σ — or σ1 & σ2 )? (If this is about proportions, skip this question.)

b) (1 pt) What are the population parameter(s), and what are the sample statistic(s)? Provide symbols, and say what they represent in the context of the question. (For example, "µ is the mean completion time of the population, and x̄ is the mean completion time for the sample".) You may want to give the statistic values here.

c) complete the question. Details depend on the kind of problem:

• For a confidence interval:

i) State the confidence level. (If it is not given, make a reasonable choice.)

ii) Give the formula for the margin of error (symbols only, no numbers!).

iii) Calculate the margin of error (show your work!).

iv) State the confidence interval in a complete sentence (in words!), in the context of the original problem. (You may use whichever form you prefer.)

• For a hypothesis test:

i) State the significance level (alpha). (If it is not given, make a reasonable choice.)

ii) Give the formula for the test statistic (z or t) (symbols only, no numbers!).

iii) State the null and alternative hypotheses. Use symbols, and state them in the context of the original problem. (A sketch is optional, but very useful.)

iv) Calculate the test statistic (z or t) (show your work!), and determine the p-value.

v) State your conclusion in a complete sentence (in words!), in the context of the original problem. Your conclusion should state whether or not you reject the null hypothesis, and what this says about the original question.

Answer #1

(a)

(i)

**confidence interval**

(ii)

**1 sample**

(iii)

**proportion**

(b)

** = Population
proportion**

** = Sample
proportion**

(c)

(i) Confidence level = **95%** (Not given;
reasonable choice)

(ii) Margin of Error (E) is given by:

(iii)

n = 1498

(iv) Confidence Interval:

0.8558 0.0091

= (0.8467 ,0.8649)

There is 95% probability that the Confidence Interval (0.8467 ,0.8649) will contain the true population proportion of all adult Canadians who agree that all firearms should be registered.

All euro (common currency in Europe) coins have a national image
on the “heads” side and a common design on the“tails” side.
Spinning a coin, unlike tossing it, may not give heads and tails
equal probabilities. Polish students spun the Belgian euro 280
times, with its portly king, Albert, displayed on the heads side.
The result was 153 heads. At a 10% significance level, does this
demonstrate that the chances of "heads" when spinning a Belgian
euro are different from...

The distribution of blood cholesterol level in the population of
all male patients 20–34 years of age tested in a large hospital
over a 10-year period is close to Normal with standard deviation σ
= 48 mg/dL (milligrams per deciliter). At your clinic, you measure
the blood cholesterol of 14 male patients in that age range. The
mean level for these 14 patients is x̄ = 180 mg/dL. Assume that σ
is the same as in the general male hospital...

Some dietitians have suggested that highly acidic diets can have
an adverse affect on bone density in humans. Alkaline diets have
been marketed to avoid or counteract this effect. Veterinary
researchers wondered if the same thing true for cats, and whether
an alkaline diet might be beneficial. Two groups of 4 cats each
were fed diets for 12 months that differed only in acidifying or
alkalinizing properties. The bone mineral density (g/cm2) of each
cat was measured at the end...

A random sample of 100 students at a high school was asked
whether they would ask their father or mother for help with a
financial problem. A second sample of 100 different students was
asked the same question regarding a dating problem. If 43 students
in the first sample and 47 students in the second sample replied
that they turned to their mother rather than their father for help,
test the hypothesis of no difference in the proportions. Use α...

A random sample of 100 students at a high school was asked
whether they would ask their father or mother for
help with a financial problem. A second sample of 100 different
students was asked the same question
regarding a dating problem. If 43 students in the first sample and
47 students in the second sample replied that
they turned to their mother rather than their father for help, test
the hypothesis of no difference in the
proportions. Use α...

Canada found a mean thickness of 68 cm. A Colorado study had a
random sample of 12 avalanches in spring, which gave a sample mean
thickness of 64.5 cm with a standard deviation of 7.9 cm. Assume
the slab thickness has a normal distribution and use an α= 10%
level of significance to test the claim that the mean slab
thickness in the Colorado region is less than Canada’s slab
thickness. show work.
State the null and alternate hypotheses for...

From a random sample of 16 bags of chips, sample mean weight is
500 grams and sample standard deviation is 3 grams. Assume that the
population distribution is approximately normal. Answer the
following questions 1 and 2.
1. Construct a 95% confidence interval to estimate the
population mean weight. (i) State the assumptions, (ii) show your
work and (iii) interpret the result in context of the problem.
2. Suppose that you decide to collect a bigger sample
to be more accurate....

A random sample of 337 college students was asked whether or not
they were registered to vote. We wonder if there is an association
between a student’s sex and whether the student is registered to
vote. The data are provided in the tables below (expected counts
are in parentheses). (All the conditions are satisfied - don’t
worry about checking them.)
The calculated statistic is χ 2 = 0.249 , and the
P-value = 0.618.
State your complete conclusion in...

A random sample of 22 STAT 250 students was collected and the
file size of Data Analysis 2 was recorded. The data was measured in
megabytes. The instructors of the course claim that the file size
will be different from 5 megabytes. Consider the population of all
file sizes to be right skewed. Using a= 0.01, is there sufficient
evidence to conclude that the mean file size of Data Analysis 2 is
different from 5 megabytes? Conduct a full hypothesis...

You are the manager of a restaurant that delivers pizza to
college dormitory rooms. You have just changed your delivery
process in an effort to reduce the mean time between the order and
completion of delivery from the current 25 minutes. A sample of 36
orders using the new delivery process yields a sample mean of 22.4
minutes and a sample standard deviation of 6 minutes. Perform a
hypothesis test to determine if there’s evidence that the
population mean delivery...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 38 minutes ago

asked 39 minutes ago

asked 43 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago