Final answer:
The test that can be used to determine if the percentages are different enough from those specified by the null hypothesis to be significant is a t test for independent samples or a t test for matched samples.
Step-by-step explanation:
The test that can be used to determine if the percentages are different enough from those specified by the null hypothesis to be significant is a t test for independent samples or a t test for matched samples. The choice of which test to use depends on whether the samples are independent or matched pairs.
If the samples are independent, where the observations in one sample are not related to the observations in the other sample, then a t test for independent samples can be used. This test compares the means of the two independent samples to determine if they are significantly different.
If the samples are matched pairs, where each observation in one sample is related to a specific observation in the other sample (e.g., before and after measurements, or measurements on the same subjects), then a t test for matched samples can be used. This test compares the mean difference between the pairs to determine if it is significantly different from zero.