1. Twenty years ago, 47% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 278 of 900 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the =0.01 level of significance.

a) Find the test statistic.

z0=____

b) Find the P-value.

P-value=____

2. In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 15 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.13 cm3 and s=0.8 cm3. Conduct the appropriate test at the =0.01 level of significance.

a) Identify the t-statistic.

t0=___

b) Identify the P-value.

P-value=____