Hi, i need help with these questions, thank you.

Are freshmen psychology majors just as likely to change their major before they graduate compared to The average retirement age in America is 65 years old. Do small business owners retire at a younger freshmen business majors? 411 of the 623 freshmen psychology majors from a recent study changed their average age? The data below shows the results of a survey of small business owners who have recently major before they graddar y graduated and 463 of the 636 freshmen business majors changed their major before they retired. Assume that the distribution of the population is normal. graduated. What can be concluded at the CX = 0.01 level of significance? 51, 67, 61, 68, 66, 53, 63, 68, 52, 61, 54, 52, 63 For this study, we should use Select an answer What can be concluded at the the o = 0.05 level of significance level of significance? a. The null and alternative hypotheses would be: a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: [Select an answer ) [Select an answer v Select an answer v Ho: 7 ) Select an answer H 1: Select an answer ) Select an answer v Select an answer H1 : 7 v Select an answer v b. The test statistic ? ) = (please show your answer to 2 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) c. The test statistic ? = (Please round intermediate calculations to 2 decimal places. d. The p-value is ? Please show your answer to 3 decimal places.) e. Based on this, we should Select an answer | the null hypothesis. d. The p-value - (Using your rounded test statistic, please show your answer to 4 decimal f. Thus, the final conclusion is that ... places.) The results are statistically insignificant at a = 0.01, so there is insufficient evidence to e. The p-value is ? ) conclude that the population proportion of freshmen psychology majors who change their conclude "atone Fromthe population proportion of freshmen business majors who change f. Based on this, we should | Select an answer | the null hypothesis. g. Thus, the final conclusion is that ... their major. The data suggest the population mean is not significantly younger than 65 at a = 0.05, so The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen psychology there is sufficient evidence to conclude that the population mean retirement age for small n psychology majors who change their major is different from the population proportion of freshmen business majors who change their major. business owners is equal to The results are statistically insignificant at o = 0.01, so there is statistically significant The data suggest the populaton mean is significantly younger than 65 at a = 0.05, so there is evidence to conclude that the population proportion of freshmen psychology majors who sufficient evidence to conclude that the population mean retirement age for small business change their major is the same as the population proportion of freshmen business majors who owners is younger than 65. change their major. The data suggest the population mean retirement age for small business owners is not The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude significantly younger than 65 at a = 0.05, so there is insufficient evidence to co ence to conclude that the that the proportion of the 623 freshmen psychology majors who changed their major is population mean retirement age for small business owners is younger than 65. different from the proportion of the 636 freshmen business majors who change their major. Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .005 significance level. The null and alternative hypothesis would be: Ho :PN = PD Ho : PN = PD HO : UN = HD HO: PN = PD HO : UN = HD HO : HN = UD H1:PN > PD H1 :PN # PD. Hi: UN HD The test is: right-tailed two-tailed left-tailed (C) The sample consisted of 60 night students, with a sample mean GPA of 2.21 and a standard deviation of 0.03, and 25 day students, with a sample mean GPA of 2.19 and a standard deviation of 0.06. A psychiatrist is interested in finding a 90% confidence interval for the tics per hour exhibited by The test statistic is: (To 3 decimals) children with Tourette syndrome. The data below show the tics in an observed hour for 12 possible. randomly selected children with Tourette syndrome. Round answers to 3 decimal places where The critical value is: (For this calculation, if you do not have a Ti-84 and the degrees of freedom is not on Table F, then please use the =T.INV(Area to left, df) function in GoogleSheets 9 0 7 12 12 0 6 0 11 0 2 7 to report the answer accurate to three decimal places.) . To compute the confidence interval use a [? y] distribution. Based on this we: b. With 90% confidence the population mean number of tics per hour that children with Tourette O Fail to reject the null hypothesis syndrome exhibit is between and O Reject the null hypothesis c. If many groups of 12 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be produced from each group. About percent of You wish to test the following claim (H1) at a significance level of a = 0.05. these confidence intervals will contain the true population mean number of tics per hour and about percent will not contain the true population mean number of tics per hour. Ho: u = 60.3 H1:u