Question

also, what is the test statistic, p-value, and conclusion?

Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? Day Sun Mon Tues Wed Thurs Fri Sat Number of Births 35 60 59 5 57 56 37 Determine the null and alternative hypotheses sations H At least one day has a different frequency of births than the other days Births occur with all different frequencies on the different days of the week At least two days have a different frequency of births than the other days Births occur with the same frequency on the different days of the week. Click to select your answer(s) and then click Check Answer. Check Answer

Answer 1

362= The Goodness of fit test is applied to check how well the sample Ans: Chi-Saare test for goodness of fit: data obtained fits He distribution of the selected population ift ltre pattern. Most commonly used test to check the goodness of fit is the chi-smane test, Tee hypothesis ane stated as given beloo: Noll Hypothesis: Pinths oceun witte Hae Same frowney on the diffomento days of the Week Alternative hypollosisAt least one day has a different freas oney of births than the other days. Hene total number of birth is 35760+59 +58 +57756 +37=362 The expected value for all days is calculated as follows: 517143 7 He ehi-sauabe test Statistic ds Calculated as given below: 0;-£) Pago Sun 35 Mon 09 60 51.7143 Tue 1.0264 Wed Thu fri Sat Tolal Test statistie g? I 0;-£) 13.6021 df = 6 7 -1 = 6 ai | value = 0.0344 Conclusion: Sinop value = 0.0344 020101, we fail to pijeet te moll hypothesis (Ho) at 0.01 significance ferel. Therefore, the number of births on Saturdays and Sundays one are less common less as thee Caesanean - Sections births (about im 3) and lo number of births during to roller days of the week are relatively more. @ E 151.7143 5.4021 1.3275 59517143 58 51.7143 0.764 57 151.7143 0.5402 56 151.743 0.3552 35 51-7143 4.1867 13.6021