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Random samples of 54 male students and 53 female 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 males and females? American European Japanese Male 19 11 24 Female 13 20 20 (a) In performing this statistical test, state the hypotheses. O Ho: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. HA: the distribution of preference is not the same for males and females O Họ: the proportion of males is the same for each car preference vs. HẠ: the proportion of males is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. HA: the distribution of preference is the same for males and females (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 Male 16.15 Female 21.79 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS =

Random samples of 54 male students and 53 female 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 males and females? American European Japanese Male 19 11 24 Female 13 20 20 (a) In performing this statistical test, state the hypotheses. O Ho: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. HA: the distribution of preference is not the same for males and females O Họ: the proportion of males is the same for each car preference vs. HẠ: the proportion of males is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. HA: the distribution of preference is the same for males and females (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 Male 16.15 Female 21.79 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS =

MATLAB: An Introduction with Applications
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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(e) Using the statistical table, the p-value is 0.05 < p-value < 0.10 + (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.025. (g) What is the appropriate conclusion? O There is sufficient evidence to conclude there is a difference in males and females for car preference. O There is sufficient evidence to conclude there is no difference in males and females for car preference. O There is insufficient evidence to conclude the proportion of males is not the same for each car preference. O There is sufficient evidence to conclude the proportion of males is not the same for each car preference. O There is insufficient evidence to conclude there is a difference in males and females for car preference.
Transcribed Image Text:(e) Using the statistical table, the p-value is 0.05 < p-value < 0.10 + (f) Based on the p-value, those conducting the test should fail to reject + the null hypothesis at the significance level of 0.025. (g) What is the appropriate conclusion? O There is sufficient evidence to conclude there is a difference in males and females for car preference. O There is sufficient evidence to conclude there is no difference in males and females for car preference. O There is insufficient evidence to conclude the proportion of males is not the same for each car preference. O There is sufficient evidence to conclude the proportion of males is not the same for each car preference. O There is insufficient evidence to conclude there is a difference in males and females for car preference.
Random samples of 54 male students and 53 female 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 males and females? American European Japanese Male 19 11 24 Female 13 20 20 (a) In performing this statistical test, state the hypotheses. O Ho: the distribution of gender is not the same for each car preference vs. H4: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. HA: the distribution of preference is not the same for males and females O Họ: the proportion of males is the same for each car preference vs. HA: the proportion of males is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. HẠ: the distribution of preference is the same for males and females (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 Male 16.15 Female 21.79 (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 = 2
Transcribed Image Text:Random samples of 54 male students and 53 female 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 males and females? American European Japanese Male 19 11 24 Female 13 20 20 (a) In performing this statistical test, state the hypotheses. O Ho: the distribution of gender is not the same for each car preference vs. H4: the distribution of gender is the same for each car preference O Ho: the proportion of females is the same for each car preference vs. Ha: the proportion of females is not the same for each car preference O Ho: the distribution of preference is the same for males and females vs. HA: the distribution of preference is not the same for males and females O Họ: the proportion of males is the same for each car preference vs. HA: the proportion of males is not the same for each car preference O Ho: the distribution of preference is not the same for males and females vs. HẠ: the distribution of preference is the same for males and females (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 Male 16.15 Female 21.79 (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 = 2
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