This question deals with how to calculate a p-value by hand, given that you calc

Question

This question deals with how to calculate a p-value by hand, given that you calculated a t-statistic. We have enough degrees of freedom so that we can approximate the t-distribution with the standard normal distribu­tion. For a sufficiently large sample size, what would be the p-value associated with a t-statistic of -1.96 be, assuming a 2-sided alternative? For a two-sided alternative, what would be the p-value associated with a t-stat of 1.6? For a one-sided (positive) alternative, what would be the p-value associated with at stat of 1.6?

Explanation / Answer

The sample sizes are not given, that is why only a range is given for a. Rest is calculated from t distribution table.

a. For a sufficiently large sample size, the p value will be less than or equal to 0.05.

b. The p value is 0.20.

c. The p value is 0.10.

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