Random samples of 49 first-year students and 48 second-year students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence to conclude a difference in car preference between first-years and second-years? American European Japanese 1st 16 10 23 2nd 11 22 15 (a) In performing this statistical test, state the hypotheses. Ho: the distribution of preference is the same for first-years and second-years vs. Ha: the distribution of preference is not the same for first-years and second-years Ho: the proportion of first-years is the same for each car preference vs. Ha: the proportion of first-years is not the same for each car preference Ho: the proportion of second-years is the same for each car preference vs. Ha: the proportion of second-years is not the same for each car preference Ho: the distribution of student year is not the same for each car preference vs. Ha: the distribution of student year is the same for each car preference Ho: the distribution of preference is not the same for first-years and second-years vs. Ha: the distribution of preference is the same for first-years and second-years (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) American European Japanese 1st 13.64 2nd 18.8 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.)TS = (d) The test statistic follows a chi-square distribution with df = 95 t-distribution with df = 2 chi-square distribution with df = 6 chi-square distribution with df = 2 t-distribution with df = 6 (e) Using the statistical table, the p-value is 0.05 < p-value < 0.10 0 < p-value < 0.005 0.01 < p-value < 0.025 0.025 < p-value < 0.05 0.005 < p-value < 0.01 p-value > 0.10 (f) Based on the p-value, those conducting the test should ____ the null hypothesis at the significance level of 0.05. reject fail to reject (g) What is the appropriate conclusion? There is sufficient evidence to conclude the proportion of first-years is not the same for each car preference. There is sufficient evidence to conclude there is no difference in first-years and second-years for car preference. There is insufficient evidence to conclude there is a difference in first-years and second-years for car preference. There is sufficient evidence to conclude there is a difference in first-years and second-years for car preference. There is insufficient evidence to conclude the proportion of first-years is not the same for each car preference. *Please note this is all part of one question, i've tried this multiple times but I am confused. Please help*

Random samples of 49 first-year students and 48 second-year students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence to conclude a difference in car preference between first-years and second-years? American European Japanese 1st 16 10 23 2nd 11 22 15 (a) In performing this statistical test, state the hypotheses. Ho: the distribution of preference is the same for first-years and second-years vs. Ha: the distribution of preference is not the same for first-years and second-years Ho: the proportion of first-years is the same for each car preference vs. Ha: the proportion of first-years is not the same for each car preference Ho: the proportion of second-years is the same for each car preference vs. Ha: the proportion of second-years is not the same for each car preference Ho: the distribution of student year is not the same for each car preference vs. Ha: the distribution of student year is the same for each car preference Ho: the distribution of preference is not the same for first-years and second-years vs. Ha: the distribution of preference is the same for first-years and second-years (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) American European Japanese 1st 13.64 2nd 18.8 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.)TS = (d) The test statistic follows a chi-square distribution with df = 95 t-distribution with df = 2 chi-square distribution with df = 6 chi-square distribution with df = 2 t-distribution with df = 6 (e) Using the statistical table, the p-value is 0.05 < p-value < 0.10 0 < p-value < 0.005 0.01 < p-value < 0.025 0.025 < p-value < 0.05 0.005 < p-value < 0.01 p-value > 0.10 (f) Based on the p-value, those conducting the test should ____ the null hypothesis at the significance level of 0.05. reject fail to reject (g) What is the appropriate conclusion? There is sufficient evidence to conclude the proportion of first-years is not the same for each car preference. There is sufficient evidence to conclude there is no difference in first-years and second-years for car preference. There is insufficient evidence to conclude there is a difference in first-years and second-years for car preference. There is sufficient evidence to conclude there is a difference in first-years and second-years for car preference. There is insufficient evidence to conclude the proportion of first-years is not the same for each car preference. Please note this is all part of one question, i've tried this multiple times but I am confused. Please help

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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Related questions

Question

	American	European	Japanese
1st	16	10	23
2nd	11	22	15

(a) In performing this statistical test, state the hypotheses.

Ho: the distribution of preference is the same for first-years and second-years vs. Ha: the distribution of preference is not the same for first-years and second-years

Ho: the proportion of first-years is the same for each car preference vs. Ha: the proportion of first-years is not the same for each car preference

Ho: the proportion of second-years is the same for each car preference

vs. Ha: the proportion of second-years is not the same for each car preference

Ho: the distribution of student year is not the same for each car preference vs. Ha: the distribution of student year is the same for each car preference

Ho: the distribution of preference is not the same for first-years and second-years vs. Ha: the distribution of preference is the same for first-years and second-years

(b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.)

	American	European	Japanese
1st	13.64
2nd			18.8

(d) The test statistic follows a

chi-square distribution with df = 95
t-distribution with df = 2
chi-square distribution with df = 6
chi-square distribution with df = 2
t-distribution with df = 6

(e) Using the statistical table, the p-value is

0.05 < p-value < 0.10
0 < p-value < 0.005
0.01 < p-value < 0.025
0.025 < p-value < 0.05
0.005 < p-value < 0.01
p-value > 0.10

(f) Based on the p-value, those conducting the test should ____ the null hypothesis at the significance level of 0.05.

reject

fail to reject

(g) What is the appropriate conclusion?

There is sufficient evidence to conclude the proportion of first-years is not the same for each car preference.

There is sufficient evidence to conclude there is no difference in first-years and second-years for car preference.

There is insufficient evidence to conclude there is a difference in first-years and second-years for car preference.

There is sufficient evidence to conclude there is a difference in first-years and second-years for car preference.

There is insufficient evidence to conclude the proportion of first-years is not the same for each car preference.

*Please note this is all part of one question, i've tried this multiple times but I am confused. Please help*

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