In 2006, 75.9% of first-year college students responding to a national survey said they used the Internet for research or homework. Administrators at a college believed first-year students used the Internet more frequently than students in 2006. They find that 168 of an SRS of 200 first-year students said they used the Internet for research or homework. Is the proportion of first-year students who used the Internet frequently for research or homework larger than the 2006 national value of 75.9%? a) Explain in words what the parameter p is in this setting. b) What are the null and alternative hypotheses 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 the reasonably good evidence that H0 is not true and that Ha is true.
Also, carry out the hypothesis test described above and compute the P-value. How does your value compare with the value given above?