Question

Absentee rates - Friday vs Wednesday: We want to test whether or not more students are...

Absentee rates - Friday vs Wednesday: We want to test whether or not more students are absent on Friday afternoon classes than on Wednesday afternoon classes. In a random sample of 302 students with Friday afternoon classes, 48 missed the class. In a different random sample of 307 students with Wednesday afternoon classes, 32 missed the class. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software.

Data Summary

total number total number Proportion  
Day of absences (x) of students (n) = (x/n)   
Friday 48   302 0.15894  
Wednesday 32 307 0.10423  

SE = 0.02738

The Test: Test the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. Use a 0.05 significance level.

(a) Letting 1 be the absentee rate from the sample on Friday and 2 be the rate from Wednesday, calculate the test statistic using software or the formulaz =

(12) − δp
SE

where δp is the hypothesized difference in proportions from the null hypothesis and the standard error (SE) given with the data. Round your answer to 2 decimal places.
z =  
To account for hand calculations -vs- software, your answer must be within 0.01 of the true answer.

(b) Use software or the z-table to get the P-value of the test statistic. Round to 4 decimal places.
P-value =

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