In 2006 75.9% of first year college students responding to a national survey said that they used internet frequently for research or homework. Administrators at a large state university believe that their current first year students use the internet more frequently than students in 2006. They find that 168 of an SRS of 200 of the universitys first year students said that they used the internet frequesntly for research or homework. Is the proportion of first year students at the university who said that they used the internet frequently for research or homework larger than the 2006 national value of 75.9% ?
a. Explain in words what parameter p is in this setting.
b. What are the null and alternative hypothesis H0 and HA ?
c. What is the numerical value of the sample proportion p^ ? The P-value is the probability of what event?
d. The P-value is P=0.0037. Explain carefully why this is reasonably good evidence that H0 is not true and that HA is true.