A particular city has an Asian population of 1419 people, out of a total population of 23,609. Conduct a goodness of fit test at the 5% level to determine if the self-reported sub-groups of Asians are evenly distributed. Round expected frequency to two decimal places.RaceFrequencyExpected FrequencyAsian Indian129 Chinese119 Filipino1041 Japanese84 Korean14 Vietnamese7 Other25 Part (a)State the null hypothesis.The self-reported sub-groups of Asians are evenly distributed.The self-reported sub-groups of Asians are not evenly distributed. Part (b)State the alternative hypothesis.The self-reported sub-groups of Asians are not evenly distributed.The self-reported sub-groups of Asians are evenly distributed. Part (c)What are the degrees of freedom?Part (d)State the distribution to use for the test.t7t6 Part (e)What is the test statistic? (Round your answer to two decimal places.)Part (f)What is the p-value? (Round your answer to four decimal places.)Explain what the p-value means for this problem.If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.Part (g)Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. (Upload your file below.)This answer has not been graded yet.Part (h)Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion.(i) Alpha:? = (ii) Decision:reject the null hypothesisdo not reject the null hypothesis (iii) Reason for decision:Since ? < p-value, we reject the null hypothesis.Since ? > p-value, we reject the null hypothesis. Since ? > p-value, we do not reject the null hypothesis.Since ? < p-value, we do not reject the null hypothesis.(iv) Conclusion:There is sufficient evidence to warrant a rejection of the claim that the self-reported sub-groups of Asians are evenly distributed.There is not sufficient evidence to warrant a rejection of the claim that the self-reported sub-groups of Asians are evenly distributed.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A particular city has an Asian population of 1419 people, out of a total population of 23,609. Conduct a goodness of fit test at the 5% level to determine if the self-reported sub-groups of Asians are evenly distributed. Round expected frequency to two decimal places.

Race	Frequency	Expected Frequency
Asian Indian	129
Chinese	119
Filipino	1041
Japanese	84
Korean	14
Vietnamese	7
Other	25

Part (a)

State the null hypothesis.
The self-reported sub-groups of Asians are evenly distributed.

The self-reported sub-groups of Asians are not evenly distributed.
Part (b)

State the alternative hypothesis.
The self-reported sub-groups of Asians are not evenly distributed.

The self-reported sub-groups of Asians are evenly distributed.
Part (c)

What are the degrees of freedom?
Part (d)

State the distribution to use for the test.

t₇

t₆
Part (e)

What is the test statistic? (Round your answer to two decimal places.)
Part (f)

What is the p-value? (Round your answer to four decimal places.)

Explain what the p-value means for this problem.
If H₀ is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.If H₀
is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. If H₀ is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.If H₀ is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
Part (g)

Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. (Upload your file below.)

This answer has not been graded yet.
Part (h)

Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion.
(i) Alpha:
? =

(ii) Decision:
reject the null hypothesis

do not reject the null hypothesis

(iii) Reason for decision:
Since ? < p-value, we reject the null hypothesis.

Since ? > p-value, we reject the null hypothesis.

  Since ? > p-value, we do not reject the null hypothesis.

Since ? < p-value, we do not reject the null hypothesis.

(iv) Conclusion:
There is sufficient evidence to warrant a rejection of the claim that the self-reported sub-groups of Asians are evenly distributed.

There is not sufficient evidence to warrant a rejection of the claim that the self-reported sub-groups of Asians are evenly distributed.

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