Question

Randomly selected birth records were​ obtained, and categorized as listed in the table to the right. Use a

0.010

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 nbspDay	Sun	Mon	Tues	Wed	Thurs	Fri	Sat
Number of BirthsNumber of Births	46	56	61	56	56	56	42

Determine the null and alternative hypotheses.

Upper H 0H0​:

▼

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.

Births occur with the same frequency on the different days of the week.

At least two days have a different frequency of births than the other days.

What is the test statistic?

What is p value?

What is null hypothesis?

What is research hypothesis?

Reject or foul to reject null hypothesis because the P value is < or>

Answer 1

null hypothesis :Ho: Births occur with the same frequency on the different days of the week.

Alternate hypothesis: Ha Births occur with all different frequencies on the different days of the week.

2)

applying chi square goodness of fit test:

	relative	observed	Expected		Chi square
category	frequency(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
Sun	1/7	46	53.29		0.996
Mon	1/7	56	53.29		0.138
Tue	1/7	61	53.29		1.117
Wed	1/7	56	53.29		0.138
Thu	1/7	56	53.29		0.138
Fri	1/7	56	53.29		0.138
Sat	1/7	42	53.29		2.390
total	1.000	373	373		5.0563
test statistic X2 =		5.056

degree of freedom =categories-1=

6

from excel: p value =

chidist(5.056,6)=

0.5366

Fail to reject null hypothesis because the P value is > 0.01