Question

Susan hypothesizes that the students of a private school will score higher than the general population. susan records a sample mean equal to 578 and states the hypothesis as mu equals 572 vs mu greater than 572 . select the best description for this type of test.

a.) right-tailed test
b.) lower-tailed test
c.) two-tailed test
d.) left-tailed test

Answer 1

Susan's hypothesis test, given the research hypothesis predicting a value greater than the null hypothesis mean, is a right-tailed test.

Step-by-step explanation:

The type of hypothesis test Susan is conducting is a right-tailed test. In statistical hypothesis testing, when the alternative hypothesis (H₁) includes a greater than (>) symbol, it indicates that the research hypothesis predicts a value greater than the null hypothesis (H₀) mean value. In this case, Susan's hypothesis is that the mean score (μ) of private school students is greater than 572.

Therefore, the null hypothesis is H₀: μ = 572 and the alternative hypothesis is H₁: μ > 572. As Susan is looking for scores higher than the population mean, only the upper (right) tail of the distribution will be considered in determining the statistical significance of the results.