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A person wants to determine whether the proportion of children born each day of the week is the same or not in a city; that

A person wants to determine whether the proportion of children born each day of the week is the same or not in a city; that is, the expected relative frequencies are as follows:

Day of Week Relative Frequency
Sunday 1/7
Monday 1/7
Tuesday 1/7
Wednesday 1/7
Thursday 1/7
Friday 1/7
Saturday 1/7

The person randomly selected a sample of 500 children and the result is as follows:

Day of Week Frequency
Sunday 57
Monday 78
Tuesday 74
Wednesday 76
Thursday 71
Friday 81
Saturday 63

At the = 0.01 level of significance, is there evidence that the proportion of children born each day of the week is the same?

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