Chi-squared Goodness-of-fit

Χ2 goodness-of-fit test

Sum of 2 dice probabilities:
sum= 2         3       4      5        6       7          8        9      10       11     12
P= .027777  .055555  .083333 .111111 .1388888 .16666666 .1388888 .111111 .083333 .055555 .027777

n=100 tosses of a die:   Copy and paste from the webpage
Ei= 2.7777 5.5555 8.3333 11.1111 13.88888 16.666666 13.88888 11.1111 8.3333 5.5555 2.7777

Oi= 2       5      6      17      12       16        13        9      13      7      0      
Χ2 statistic=________    Critical value=__________  Reject H0?:______
p_value=________   Reject H0?:______
These 100 rolls are expectable? i.e. within random chance?:_____

Oi= 5       3      7      17       9       11        10       12      14      7      5     
Χ2 statistic=________    Critical value=__________  Reject H0?:______
p_value=________   Reject H0?:______
These 100 rolls are expectable? i.e. within random chance?:_____


Oi= 6       3      7      17       9       10         9       12      14      7      6     
Χ2 statistic=________    Critical value=__________  Reject H0?:______
p_value=________   Reject H0?:______
These 100 rolls are expectable? i.e. within random chance?:_____



The day-of-birth data in Nominal Data:
57 52 43 53 57 66 72
n=400 births, assume uniform distribution, so each day equally likely, so each Ei =400/7= 57.14 

Χ2 statistic=________    Critical value=__________  Reject H0?:______

p_value=________   Reject H0?:______

These birth days are expectable? i.e. within random chance?:_____