22.20 Using the Internet. In 2013, 81.8% of first-year college students responding to a national survey said that they used the 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 2013 did. They find that 168 of an SRS of 200 of the university’s first-year students said that they used the Internet frequently for research or homework. Is the proportion of first-year students at this university who said that they used the Internet frequently for research or homework larger than the 2013 national value of 81.8%?

  1. (a) Explain in words what the parameter p is in this setting.

  2. (b) What are the null and alternative hypotheses H0 and Ha?

  3. (c) What is the numerical value of the sample proportion ? The P-value is the probability of what event?

  4. (d) The P-value is P = 0.210. Explain carefully why this evidence should lead administrators to fail to reject H0.