Perform a Goodness of Fit Using Numerical Data 01d Randomly selected birth recor

Question

Perform a Goodness of Fit Using Numerical Data 01d 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. Day Number of Births Sun 49 Tues 58 Wed 63 Thurs 57 Fri 61 Sat 46 on 63 Choose ALL correct statements from those given below Answer 1.Ho: Births occur with the same frequency on the different days of the week. H1: At least one day has a different frequency of births than the other days 2.Ho: At least one day has a different frequency of births than the other days. H1 Births occur with the same frequency on the different days of the week. 3. O Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. 4.0 P-value= 0.5669 5.X24.821

Explanation / Answer

I am solving all parts here.

H0 : Births occur with thwe same frequency on the differemnt days of the week.

Ha at least one day has a different frequencty of births than the other days.

First question is correct.

Here expected value = (49 + 63 + 58 + 63 + 57 + 61 + 46)/7 = 56.7183

Chi - square Table

Here p - value = CHITEST(Observed, Expected) = 0.5669

Here as p - value > 0.01 so we fail to reject H0 SO that statement is true.

Except statement two, all statments is correct.

Day Births(o) Expected € (O - E)^2/E Sun 49 56.7143 1.04930 mon 63 56.7143 0.69665 tue 58 56.7143 0.02915 wed 63 56.7143 0.69665 thu 57 56.7143 0.00144 fri 61 56.7143 0.32386 sat 46 56.7143 2.02411 Sum 397 397 4.82116

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