Question

The percentage of students who attend a local school in any given school week is as...

The percentage of students who attend a local school in any given school week is as follows:

Monday Tuesday Wednesday Thursday Friday
95% 96% 98% 97% 95%

In one given school week, the number of students (data) who attended school out of a student population of 500 was:

Monday Tuesday Wednesday Thursday Friday
450 470 485 480 470

a=0.05

Perform a goodness of fit hypothesis test to determine if the numbers fit the percentages given.

Math   Statistics-And-Probability   
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Answer #1
Monday Tuesday Wednesday Thursday Friday
Expected 95 96 98 97 95
Observed 90 94 97 96 94

Null hypothesis: The numbers fit the percentages given

Alternate hypothesis: The numbers do not fit the percentages given.

Degrees of freedom = k-1 = 5-1 =4

Test statistic is

we use Chi-square distribution calculator to find P(Χ2 > 0.3359) = 0.99

AS p-value is greater than 0.05. we fail to reject null hypothesis.

we can conclude that the numbers fit the percentages given.

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