Women are recommended to consume 1900 calories per day. Yoususpect that the average calorie intake is smaller for women atyour college. The data for the 15 women who participated in thestudy is shown below: 1625, 1927, 1996, 1762, 1766, 1885, 2008,1751, 1666, 1837, 1981, 1603, 1881, 1606, 1625 Assuming that thedistribution is normal, what can be concluded at the ? ? = 0.05level of significance? a.For this study, we should use Select ananswer z-test for a population proportion t-test for a populationmean b.The null and alternative hypotheses would be: H0: H0: ? ? p? = > < ? H1: H1: ? ? p ? < > = ? c.The test statistic? z t = (please show your answer to 3 decimal places.) d.Thep-value = (Please show your answer to 4 decimal places.) e.Thep-value is ? ? > ? ? f.Based on this, we should Select an answerreject accept fail to reject the null hypothesis. g.Thus, the finalconclusion is that ... The data suggest the populaton mean issignificantly less than 1900 at ? ? = 0.05, so there is sufficientevidence to conclude that the population mean calorie intake forwomen at your college is less than 1900. The data suggest thepopulation mean is not significantly less than 1900 at ? ? = 0.05,so there is sufficient evidence to conclude that the populationmean calorie intake for women at your college is equal to 1900. Thedata suggest that the population mean calorie intake for women atyour college is not significantly less than 1900 at ? ? = 0.05, sothere is insufficient evidence to conclude that the population meancalorie intake for women at your college is less than 1900.h.Interpret the p-value in the context of the study. If thepopulation mean calorie intake for women at your college is 1900and if you survey another 15 women at your college, then therewould be a 0.7648994% chance that the sample mean for these 15women would be less than 1795. If the population mean calorieintake for women at your college is 1900 and if you survey another15 women at your college, then there would be a 0.7648994% chancethat the population mean calorie intake for women at your collegewould be less than 1900. There is a 0.7648994% chance that thepopulation mean calorie intake for women at your college is lessthan 1900. There is a 0.7648994% chance of a Type I error.i.Interpret the level of significance in the context of the study.If the population mean calorie intake for women at your college isless than 1900 and if you survey another 15 women at your college,then there would be a 5% chance that we would end up falselyconcuding that the population mean calorie intake for women at yourcollege is equal to 1900. There is a 5% chance that the populationmean calorie intake for women at your college is less than 1900. Ifthe population mean calorie intake for women at your college is1900 and if you survey another 15 women at your college, then therewould be a 5% chance that we would end up falsely concuding thatthe population mean calorie intake for women at your college isless than 1900. There is a 5% chance that the women at your collegeare just eating too many desserts and will all gain the freshmen15.