students were given a standardized reading test. The average score of the students in the treatment group was 601.78 with a standard deviation of 52.65; the average score of the control group was 605.78 with a standard deviation of 55.73. At the level of significance alpha = 0.01, do we have enough evidence to conclude that the average reading score of students who receive a tuition voucher to attend private school is lower than the average reading score of students who do not receive a tuition voucher?
The District of Columbia Opportunity Scholarship Program was created by Congress to provide tuition vouchers to low-income parents who want their child to attend a private school.
In 2012–2014, a treatment group of 995 students were randomly selected to receive a tuition
voucher, while a control group of 776 students did not receive vouchers. One year later, the
students were given a standardized reading test. The average score of the students in the treatment group was 601.78 with a standard deviation of 52.65; the average score of the control group was 605.78 with a standard deviation of 55.73.
At the level of significance alpha = 0.01, do we have enough evidence to conclude that the average
reading score of students who receive a tuition voucher to attend private school is lower than the average reading score of students who do not receive a tuition voucher?
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