c. The p-value = d. The p-value is e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 605 freshmen psychology majors who changed their major is greater than the proportion of the 682 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 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 insufficient evidence to (Please show your answer to 4 decimal places.) ) the null hypothests. major is greater than the population proportion of freshmen business majors who change their O The results are statistically insignificant at a = 0.01, so there is statistically significant change their major is the same as the population proportion of freshmen business majors who change their major.

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Are freshmen psychology majors more likely to change their major before they graduate compared to
freshmen business majors? 327 of the 605 freshmen psychology majors from a recent study changed their
major before they graduated and 326 of the 682 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 a population proportion
a. The null and alternative hypotheses would be:
Ho: p1
p2
(please enter a decimal)
H1: p1
p2
) (Please enter a decimal)
b. The test statistic
v= 2.234
(please show your answer to 3 decimal places.)
c. The p-value =
(Please show your answer to 4 decimal places.)
d. The p-value is ?V a
e. Based on this, we should Select an answer
f. Thus, the final conclusion is that ...
the null hypothesis.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the proportion of the 605 freshmen psychology majors who changed their major is greater
than the proportion of the 682 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 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 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 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.
Transcribed Image Text:Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 327 of the 605 freshmen psychology majors from a recent study changed their major before they graduated and 326 of the 682 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 a population proportion a. The null and alternative hypotheses would be: Ho: p1 p2 (please enter a decimal) H1: p1 p2 ) (Please enter a decimal) b. The test statistic v= 2.234 (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ?V a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 605 freshmen psychology majors who changed their major is greater than the proportion of the 682 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 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 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 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.
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