MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Are freshmen psychology majors more likely to change their major before they graduate compared to
freshmen business majors? 378 of the 664 freshmen psychology majors from a recent study changed their
major before they graduated and 382 of the 739 freshmen business majors changed their major before they
graduated. What can be concluded at the a = 0.01 level of significance?
For this study, we should use z-test for the difference between two population proportions
a. The null and altemative hypotheses would be:
H: Select an answer
Select an answer
Select an answer
(please enter a decimal)
Hj: Select an answer
Select an answer v Select an answer v (Please enter a decimal)
b. The test statistic
(please show your answer to 3 decimal places.)
c. The p-value =
d. The p-value is ? va
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ..
(Please show your answer to 4 decimal places.)
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population proportion of freshmen psychology majors who change their major is
greater than the population proportion of freshmen business majors who change their major.
O The results are statistically insignificant at a = 0.01, so there is statistically significant
evidence to conclude that the population proportion of freshmen psychology majors who
change their major is the same as the population proportion of freshmen business majors who
change their major.
O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to
conclude that the population proportion of freshmen psychology majors who change their
major is greater than the population proportion of freshmen business majors who change their
major.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the proportion of the 664 freshmen psychology majors who changed their major is greater
than the proportion of the 739 freshmen business majors who change their major.
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Transcribed Image Text:Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 378 of the 664 freshmen psychology majors from a recent study changed their major before they graduated and 382 of the 739 freshmen business majors changed their major before they graduated. What can be concluded at the a = 0.01 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and altemative hypotheses would be: H: Select an answer Select an answer Select an answer (please enter a decimal) Hj: Select an answer Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that .. (Please show your answer to 4 decimal places.) O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 664 freshmen psychology majors who changed their major is greater than the proportion of the 739 freshmen business majors who change their major.
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