In the absence of clear superiority of candidates who applied for a position in

Question

In the absence of clear superiority of candidates who applied for a position in a department seeking an additional staff member, one of the six candidates available is to be chosen by a random experiment. These candidates have been called by the contact person in the department enquiring about issues relating to their applications. The frequencies of the respective calls to them from the contact person are 13; 19; 11; 8; 5; 4. Assume that these indicate the likelihood of being selected, which means that more calls made to them shows a higher probability of a candidate being favoured. We want to test at the 5% level of significance the hypothesis that these candidates are equally likely to be employed. Identify the incorrect option.

1. H0 : p1 = p2 = p3 = p4 = p5 = p6 = 1/6

2. The test statistic is 15:6.

3. There is statistical evidence at the 5% significance level that the candidates have an equal chance of being selected.

4. The null hypothesis is not rejected at the 5% level of significance.

5. The statement that the number of calls indicates a higher probability of being selected is violated by the test.

Explanation / Answer

The Incorrect option is -

Answer - The statement that the number of calls indicates a higher probability of being selected is violated by the test.

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