Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? From a recent study, 432 of the 627 freshmen psychology majors changed their major before they graduated, and 459 of the 726 freshmen business majors changed their major. The study is conducted at a significance level of \(\alpha = 0.01\).For this study, the appropriate test is to be selected from a choice (not specified here).### Hypotheses**a. The null and alternative hypotheses would be:**\[H_0: \quad \text{Select an answer} \quad \mu_1 = \mu_2 \quad \text{(please enter a decimal)}\]\[H_1: \quad \text{Select an answer} \quad \mu_1 \neq \mu_2 \quad \text{(please enter a decimal)}\]**b. The test statistic \(z\) = [___] (Please show your answer to 3 decimal places.)****c. The P-value = [___] (Please show your answer to 4 decimal places.)****d. Based on this, we should:**- **Select an answer** regarding the null hypothesis.### Conclusion**f. Thus, the final conclusion is that:**- **There are four possible conclusions to choose from:**1. The results are statistically significant at \(\alpha = 0.01\), indicating sufficient evidence to conclude the population proportion of freshmen psychology majors who change their major is greater than that of freshmen business majors.2. The results are statistically insignificant at \(\alpha = 0.01\), showing insufficient evidence to conclude a difference in proportions.3. The results are statistically insignificant, so it’s inferred the population proportion of psychology majors changing their major is the same as business majors.4. The results are statistically significant, providing sufficient evidence to conclude that the psychology majors have a greater proportion of students changing their major compared to business majors. The task involves filling in numerical answers and making decisions about statistical significance and hypothesis testing, based on a given level of significance (\(\alpha = 0.01\)).

Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 432 of the 627 freshmen psychology majors from a recent study changed their major before they graduated and 459 of the 726 freshmen business majors changed their major before they graduated. What can be concluded at the C = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer H₁: Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (Please enter a decimal) b. The test statistic c. The p-value = d. The p-value is e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (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. 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 x = 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 significant at x = 0.01, so there is sufficient evidence to conclude that the proportion of the 627 freshmen psychology majors who changed their major is greater than the proportion of the 726 freshmen business majors who change their major.