Previous enrolment records at a large university indicate that of the total number of persons who apply for admission, 60% are admitted unconditionally, 5% are conditionally admitted, and the remainder are refused admission. Of 500 applicants to date for next year, 329 were admitted unconditionally, 43 were conditionally admitted, and the remainder were not admitted. Do the data indicate a departure from previous admission rates? Test using α = .05. a) State the hypotheses. b) Find the critical value at the 5% significance level (rounded off to four decimals). c) Calculate the value of the Chi-square test (rounded off to two decimals). d) State the conclusion at the 5% significance level.
Previous enrolment records at a large university indicate that of the total number of persons who apply for admission, 60% are admitted unconditionally, 5% are conditionally admitted, and the remainder are refused admission. Of 500 applicants to date for next year, 329 were admitted unconditionally, 43 were conditionally admitted, and the remainder were not admitted. Do the data indicate a departure from previous admission rates? Test using α = .05.
a) State the hypotheses.
b) Find the critical value at the 5% significance level (rounded off to four decimals).
c) Calculate the value of the Chi-square test (rounded off to two decimals).
d) State the conclusion at the 5% significance level.
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