Question

To determine if Canadians are worried about their investments in
the current global climate, a random sample *n _{1} =
302* individuals under the age of 50 years old and a random
sample of

a) Suppose investors are interested in determining if the proportion of "young" individuals worried about their investments is less than the proportion of "old" individuals that are worried about their investments. What would be the appropriate null and alternative hypotheses for this research question? Select ONE of the following options:

H0:p1^=p2^vs.Ha:p1^≠p2^ |
||

H0:p1=p2vs.Ha:p1<p2 |
||

H0:p1=p2vs.Ha:p1≠p2 |
||

H0:p1^=p2^vs.Ha:p1^<p2^ |

b) Calculate the value of the test statistic.

**Round your response to at least 3 decimal
places.**

c) Consider the following conclusions that can be made. Which ONE is the most appropriate based on your results?

There is very strong evidence against the null hypothesis at the 5% level of significance. |
||

There is some evidence against the null hypothesis at the 5% level of significance, but this evidence is not very strong. |
||

There is absolutely no evidence against the null hypothesis at the 5% level of significance. |

Answer #1

Suppose there is a random sample of 100 observations, divided
into three groups. The table below summarizes the count of
observations that were seen in each group.
Group 1 =51
Group 2 =17
Group 3 = 32
We are interested in testing the null hypothesis
H0:p1=0.5,p2=0.2,p3=0.3, against the alternative hypothesis HA: At
least one proportion is incorrect.
a) What is the value of the test statistic? Round your response
to at least 2 decimal places.
b) What conclusion can be...

A report summarizes a survey of people in two independent random
samples. One sample consisted of 800 young adults (age 19 to 35),
and the other sample consisted of 300 parents of young adults age
19 to 35. The young adults were presented with a variety of
situations (such as getting married or buying a house) and were
asked if they thought that their parents were likely to provide
financial support in that situation. The parents of young adults
were...

An insurance company collects data on seat-belt use among
drivers in a country. Of 1000 drivers 20-29 years old, 18% said
that they buckle up, whereas 377 of 1300 drivers 45-64 years old
said that they did. At the 5% significance level, do the data
suggest that there is a difference in seat-belt use between
drivers 20-29 years old and those 45-64?
Let population 1 be drivers of age 20-29 and let population 2 be
drivers of age 45-64.
Use...

A study was conducted to determine the proportion of people who
dream in black and white instead of color. Among 299 people over
the age of 55, 61dream in black and white, and among
287 people under the age of 25, 10 dream in black and white. Use
a 0.01 significance level to test the claim that the proportion of
people over 55 who dream in black and white is greater than the
proportion for those under 25. Complete parts...

A consulting firm asks people in many different cultures how
they felt about the following statement: I try to avoid eating
fast foods. In a random sample of 797 respondents, 412 people were
35 years old or younger, and, of those, 195 agreed (completely
or somewhat) with the statement. Of the 385 people over 35 years
old, 241 people agreed with the statement. Complete parts a and b
below.
a) Is there evidence that the percentage of people avoiding
fast...

Independent random samples of
n1 = 170
and
n2 = 170
observations were randomly selected from binomial populations 1
and 2, respectively. Sample 1 had 96 successes, and sample 2 had
103 successes.
You wish to perform a hypothesis test to determine if there is a
difference in the sample proportions
p1
and
p2.
(a)
State the null and alternative hypotheses.
H0:
(p1 − p2)
< 0 versus Ha:
(p1 − p2)
> 0
H0:
(p1 − p2)
= 0...

Suppose there is a random sample of 1,196 observations, divided
into four groups. The table below summarizes the count of
observations that were seen in each group.
Group 1
Group 2
Group 3
Group 4
574
215
120
287
We are interested in testing the null hypothesis
H0:p1=0.5,p2=0.2,p3=0.1,p4=0.2.
a) What is the appropriate alternative hypothesis?
HA:All of the proportions are incorrect.
HA:At least one of the proportions is incorrect.
HA: All of the proportions are equal to each other.
b)...

For one binomial experiment, n1 = 75 binomial trials produced r1
= 30 successes. For a second independent binomial experiment, n2 =
100 binomial trials produced r2 = 50 successes. At the 5% level of
significance, test the claim that the probabilities of success for
the two binomial experiments differ. (a) Compute the pooled
probability of success for the two experiments. (Round your answer
to three decimal places.) (b) Check Requirements: What distribution
does the sample test statistic follow? Explain....

Two computer users were discussing tablet computers. A higher
proportion of people ages 16 to 29 use tablets than the proportion
of people age 30 and older. The table below details the number of
tablet owners for each age group. Test at the 1% level of
significance. (For subscripts let 1 = 16-29 year old users, and 2 =
30 years old and older users.)
16–29 year
olds
30 years old and
older
Own a
Tablet
69
231
Sample
Size...

From a random sample from normal population, we observed sample
mean=84.5 and sample standard deviation=11.2, n = 16, H0: μ = 80,
Ha: μ < 80. State your conclusion about H0 at significance level
0.01. Question 2 options: Test statistic: t = 1.61. P-value =
0.9356. Reject the null hypothesis. There is sufficient evidence to
conclude that the mean is less than 80. The evidence against the
null hypothesis is very strong. Test statistic: t = 1.61. P-value =
0.0644....

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