Statistical Methods-Tests of Significance (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 5 - 9 of 17

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Question number: 5

» Statistical Methods » Tests of Significance » Chi-Square

Appeared in Year: 2010

Essay Question▾

Describe in Detail

For 2X2 table

A

b

C

d

prove that Chi-square test of independence gives

Explanation

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Question number: 6

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2014

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Let X follow a binomial distribution B (n, P). Explain the test procedure for

H 0: P = P 0 against H 1: P > P 0

when the sample size is (i) small, and (ii) large. It is desired to use sample proportion p as an estimator of the population proportion P, with probability 0·95 or higher, that p is within 0·05 of P. How large should sample size (n) be?

Explanation

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Question number: 7

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2015

Essay Question▾

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If X follows binomial b (n 1, p 1) distribution and Y follows binomial b (n 2, p 2), provide an appropriate test at level α for H 0: p 1 =p 2 against H 1: p 1 > p 2.

Explanation

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Question number: 8

» Statistical Methods » Tests of Significance » F-Test

Appeared in Year: 2012

Essay Question▾

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Indicate how you would test the hypothesis that the means of k independent normal populations are identical, clearly mentioning the null and the alternative hypotheses, the assumptions made, the test statistic used, and the critical region.

Explanation

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Question number: 9

» Statistical Methods » Tests of Significance » F-Test

Appeared in Year: 2013

Essay Question▾

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Obtain 100 (1 -α) % confidence interval for the ratio of population variances by using two independent random samples from N (µ 1, σ 12) and N (µ 2, σ 22) under the assumption that the population means are (i) known and (ii) unknown.

Explanation

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