Question

In: Statistics and Probability

A survey has been conducted at GMU and 500 undergraduates were randomly selected: 184 freshman, 160...

  1. A survey has been conducted at GMU and 500 undergraduates were randomly selected: 184 freshman, 160 sophomore, 88 junior and 68 senior. The survey group wants to be sure that the composition of survey respondents accurately reflects the population of undergraduates at GMU. The survey group contacts the Registrar and obtains the following breakdown of GMU undergraduates: 36% freshman, 28% sophomore, 22% junior, 14% senior. Does the sample of respondents in the survey accurately reflect the true composition of GMU undergraduates? Test at the 5% level of significance. Hint: you can first fill out the table below and then lay out the 4 steps of hypothesis testing.

Category

%

freshman

184

36%

sophomore

160

28%

Junior

88

22%

senior

68

14%

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