A researcher surveyed randomly selected Democrats and Republicans asking them what the number one concern should be for the president of the United States. The results of the survey are shown below. Is there evidence to conclude that there is a difference in what Democrats and Republicans think is the most important? Frequencies of Concerns for Democrats and Republicans Economy Foreign Affairs Family Values Environment Other Democrats 95 40 96 72 39 Republicans 97 71 114 45 39 What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit What are the null and alternative hypotheses? H0:H0: Political affiliation and number one concern are dependent. Political affiliation and number one concern are independent. The distribution of concerns for Democrats is the same as it is for Republicans. The distribution of concerns for Democrats is not the same as it is for Republicans. H1:H1: The distribution of concerns for Democrats is not the same as it is for Republicans. Political affiliation and number one concern are independent. The distribution of concerns for Democrats is the same as it is for Republicans. Political affiliation and number one concern are dependent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer greater than less than (or equal to) αα Based on this, we should accept the null fail to reject the null reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that political affiliation and number one concern are dependent. There is sufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans There is sufficient evidence to conclude that the distribution of concerns for Democrats is the same as it is for Republicans. There is sufficient evidence to conclude that political affiliation and number one concern are dependent. There is insufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans.

A researcher surveyed randomly selected Democrats and Republicans asking them what the number one concern should be for the president of the United States. The results of the survey are shown below. Is there evidence to conclude that there is a difference in what Democrats and Republicans think is the most important? Frequencies of Concerns for Democrats and Republicans Economy Foreign Affairs Family Values Environment Other Democrats 95 40 96 72 39 Republicans 97 71 114 45 39 What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit What are the null and alternative hypotheses? H0:H0: Political affiliation and number one concern are dependent. Political affiliation and number one concern are independent. The distribution of concerns for Democrats is the same as it is for Republicans. The distribution of concerns for Democrats is not the same as it is for Republicans. H1:H1: The distribution of concerns for Democrats is not the same as it is for Republicans. Political affiliation and number one concern are independent. The distribution of concerns for Democrats is the same as it is for Republicans. Political affiliation and number one concern are dependent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer greater than less than (or equal to) αα Based on this, we should accept the null fail to reject the null reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that political affiliation and number one concern are dependent. There is sufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans There is sufficient evidence to conclude that the distribution of concerns for Democrats is the same as it is for Republicans. There is sufficient evidence to conclude that political affiliation and number one concern are dependent. There is insufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans.

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Description: A researcher surveyed randomly selected Democrats and Republicans asking them what the number one concern should be for the president of the United States. The results of the survey are shown below. Is there evidence to conclude that there is a diffe

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Frequencies of Concerns for Democrats and Republicans

	Economy	Foreign Affairs	Family Values	Environment	Other
Democrats	95	40	96	72	39
Republicans	97	71	114	45	39

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?
- Homogeneity
- Independence
- Paired t-test
- Goodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
- Political affiliation and number one concern are dependent.
- Political affiliation and number one concern are independent.
- The distribution of concerns for Democrats is the same as it is for Republicans.
- The distribution of concerns for Democrats is not the same as it is for Republicans.
H1:H1:
- The distribution of concerns for Democrats is not the same as it is for Republicans.
- Political affiliation and number one concern are independent.
- The distribution of concerns for Democrats is the same as it is for Republicans.
- Political affiliation and number one concern are dependent.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer greater than less than (or equal to) αα
Based on this, we should
- accept the null
- fail to reject the null
- reject the null
Thus, the final conclusion is...
- There is insufficient evidence to conclude that political affiliation and number one concern are dependent.
- There is sufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans
- There is sufficient evidence to conclude that the distribution of concerns for Democrats is the same as it is for Republicans.
- There is sufficient evidence to conclude that political affiliation and number one concern are dependent.
- There is insufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans.

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