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aleksandrvk [35]
3 years ago
12

Suppose we’re conducting a t-test for a population mean with the following hypotheses. LaTeX: H_0 H 0 : LaTeX: \mu=50 μ = 50 LaT

eX: H_a H a : LaTeX: \mu\ne50 μ ≠ 50 A sample of size 30 has a t-statistic of LaTeX: -2.43 − 2.43 . Find the corresponding P-value. Do not round.
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer: 0.02055867

Step-by-step explanation:

Given : H_0: \mu=50\\\\ H_a: \mu\neq 50, since the alternative hypothesis is two-tailed , so the test is a two tailed test.

Sample size : n= 30

Degree of freedom for t-distribution = df=n-1=30-1=29

Test statistic= t= -2.43

By using the normal t-distribution table ( or calculator ) , we have

The corresponding P-value for two tailed test = 0.02055867

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