The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 49 |
| 5 to 14 | 13.6% | 70 |
| 15 to 64 | 67.1% | 286 |
| 65 and older | 12.1% | 50 |
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are different.
H1: The distributions are the
same.H0: The distributions are the same.
H1: The distributions are
different. H0: The
distributions are different.
H1: The distributions are
different.H0: The distributions are the
same.
H1: The distributions are the same.
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to three decimal places.)
Are all the expected frequencies greater than 5?
YesNo
What sampling distribution will you use?
binomialStudent's t normaluniformchi-square
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
P-value > 0.1000
.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.
Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.
At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
In: Statistics and Probability
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 42 |
| 5 to 14 | 13.6% | 78 |
| 15 to 64 | 67.1% | 288 |
| 65 and older | 12.1% | 47 |
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are the same.
H1: The distributions are the
same.H0: The distributions are the same.
H1: The distributions are
different. H0: The
distributions are different.
H1: The distributions are
different.H0: The distributions are
different.
H1: The distributions are the same.
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to three decimal places.)
Are all the expected frequencies greater than 5?
YesNo
What sampling distribution will you use?
Student's tchi-square binomialuniformnormal
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis that the population fits the
specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
In: Statistics and Probability
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 47 |
| 5 to 14 | 13.6% | 73 |
| 15 to 64 | 67.1% | 295 |
| 65 and older | 12.1% | 40 |
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are the same.
H1: The distributions are the
same.H0: The distributions are different.
H1: The distributions are
different. H0: The
distributions are the same.
H1: The distributions are
different.H0: The distributions are
different.
H1: The distributions are the same.
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to three decimal places.)
Are all the expected frequencies greater than 5?
YesNo
What sampling distribution will you use?
uniformbinomial chi-squarenormalStudent's t
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis that the population fits the
specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
In: Math
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 52 |
| 5 to 14 | 13.6% | 82 |
| 15 to 64 | 67.1% | 276 |
| 65 and older | 12.1% | 45 |
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are different.
H1: The distributions are the
same.H0: The distributions are different.
H1: The distributions are
different. H0: The
distributions are the same.
H1: The distributions are
different.H0: The distributions are the
same.
H1: The distributions are the same.
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to three decimal places.)
Are all the expected frequencies greater than 5?
Yes or No
What sampling distribution will you use?
uniformbinomial Student's tnormalchi-square
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis that the population fits the
specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
In: Math
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 47 |
| 5 to 14 | 13.6% | 72 |
| 15 to 64 | 67.1% | 295 |
| 65 and older | 12.1% | 41 |
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are different.
H1: The distributions are
different.H0: The distributions are the
same.
H1: The distributions are the
same. H0: The
distributions are different.
H1: The distributions are the
same.H0: The distributions are the same.
H1: The distributions are different.
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to three decimal places.)
Are all the expected frequencies greater than 5?
YesNo
What sampling distribution will you use?
uniformStudent's t binomialnormalchi-square
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis that the population fits the
specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
In: Math
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 46 |
| 5 to 14 | 13.6% | 70 |
| 15 to 64 | 67.1% | 294 |
| 65 and older | 12.1% | 45 |
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are different.
H1: The distributions are the
same.H0: The distributions are the same.
H1: The distributions are the
same. H0: The
distributions are different.
H1: The distributions are
different.H0: The distributions are the
same.
H1: The distributions are different.
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to three decimal places.)
Are all the expected frequencies greater than 5?
YesNo
What sampling distribution will you use?
uniformnormal chi-squareStudent's tbinomial
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis that the population fits the
specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
In: Math
PLEASE SHOW CALCULATOR STEPS INCLUDING WHAT YOU INPUT FOR THE TESTS Just before the 2004 Democratic convention, Rasmussen Reports polled 1500 likely voters at random and found that 705 favored John Kerry. Just after the convention, they took another random sample of 1500 likely voters and found that 735 favored Kerry. Did Kerry’s favorability rating increase after the national convention? Use a significance level of a = 0.05.
a) Give the name of the hypothesis test that would be appropriate for this situation. (1 point)
b) State the hypotheses in symbols. (2 points)
c) Use your calculator to perform the appropriate hypothesis test and report the test statistic and p-value. Be sure to write out what you entered in your calculator. (3 points)
d) Make a sketch of the test distribution. Be sure to label the test statistic and p-value. (2 points)
e) Write a full conclusion for this test in the context of the problem. (2 points)
f) Find a 90% confidence interval for the difference in John Kerry’s favorability rating before and after the convention. Do not make these calculations by hand. Instead, use the correct command in your graphing calculator and write out what you entered. (3 points)
g) Does this confidence interval support your conclusion in part (e)? Explain. (2 points)
In: Math
Explain the fibers and the fabrics being used of the textile history in Istanbul, Turkey.
Requirements:
- A minimum of 500 words
- Please use a minimum of 3-4 citations
- Please state a reference page
- APA Format
In: Economics
4) Explain how the Cash method of accounting provides some level
of control over timing of income and expense recognition. State at
least one principal that the IRS might use to change the income
timing.
In: Accounting
3 red balls, 4 blue balls, and 3 green balls are randomly placed in a line. What is the probability that there is at least one red and at least one blue between each pair of green balls?
In: Statistics and Probability