In another school a similar sample of student SAT math scores was taken. The pri

Question

In another school a similar sample of student SAT math scores was taken. The principal of that school also believed that his students scored better than the national average. Suppose this principal collected a simple random sample of student SAT scores in math. The sample data collected had a mean student SAT score higher than 550 and the calculated P-value indicated that the null hypothesis should be rejected. In fact, the true population mean of that school's students' SAT scores is the same as the national mean score. What kind of error has been committed and why? Type I error because the principal rejected the null hypothesis when it was true. Type I error because the principal failed to reject the null hypothesis when it was true. Type II error because the principal rejected the null hypothesis when it was true. Type II error because the principal failed to reject the null hypothesis when it was true. In another school a similar sample of student SAT math scores was taken. The principal of that school also believed that his students scored better than the national average. Suppose this principal collected a simple random sample of student SAT scores in math. The sample data collected had a mean student SAT score higher than 550 and the calculated P-value indicated that the null hypothesis should be rejected. In fact, the true population mean of that school's students' SAT scores is the same as the national mean score. What kind of error has been committed and why? Type I error because the principal rejected the null hypothesis when it was true. Type I error because the principal failed to reject the null hypothesis when it was true. Type II error because the principal rejected the null hypothesis when it was true. Type II error because the principal failed to reject the null hypothesis when it was true.

Explanation / Answer

Type I error because the principal rejected the null hypothesis when it was true.

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