Question

A certain college claims that half of its students received a scholarship last year. A sample of 68 of this college's students revealed that 39 of them had received a scholarship last year, 25 did not receive a scholarship, and 4 declined to answer. A sign test at the 0.01 significance level will be used to test the college's claim. Round your answers to 3 places after the decimal point, if necessary. (a) What is the value of the test statistic used in this sign test? Test statistic's value: (b) Give the value(s) of the critical value(s) used in this sign test. If there are two critical values, enter them both with a comma between them. Critical value(s): Submit Question

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Answer 1

a Here, N = 68. 39 of them had received Last yeon N+ = 89 Scholarship & 25 did not receive scholarship N 25 & 4 dedised QOSuer. a = 0.01 39+25 = 64 о x = min {*+ N-} = min { 39, 25} = 25 a Test z Shahistic, = x + 0.5 - 1/2 512 25+ 0.5-64/2 16412 6.5 Z - -).625 Ans. critical values , 20.01 # 2.586 Ans. critical valuers) (-2. 2.576 , + + 2.576