1. Consider the following conditions for various kinds of two-sample t-tests, an

Question

1. Consider the following conditions for various kinds of two-sample t-tests, and in each case, given the provided information, compute the p-value associated with the stated hypotheses. In each case, tcalc or zcalcrepresents values of the test statistic computed using standard formulas with sample values for means (or proportions) and the appropriately computed standard errors, and “n” refers to the sample size. In all cases, if degrees of freedom (d.f.) is required, use the following formula:d.f. = min(n1 - 1, n2 - 1)

c. H0: 1 - 2 0 H1: 1 - 2 < 0 zcalc = -1.8, n1 = 35, n2 = 35

Explanation / Answer

Here we are given the lower tailed test as we have the alternate hypothesis as: H1: 1 - 2 < 0

Therefore, from the standard normal tables, the p-value here is computed as:

p = P(Z < -1.8 ) = 0.0359

Therefore 0.0359 is the required p-value here.

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