Posted: December 22nd, 2022

In 2006, 75.9% of first-year college students responding to a

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.

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Also, carry out the hypothesis test described above and compute the P-value.  How does your value compare with the value given above?

 

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