# Given the following information, calculate p-value and decide whether to the null hypothesis would be rejected at α=0.05. Assume conditions have been met. (show the work please)  n = 135, T = 4.32, HA:μ≠0.5n = 9, T = -1.67, HA:μ<0.3n = 24, T = -5.64, HA:μ>0.2

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Given the following information, calculate p-value and decide whether to the null hypothesis would be rejected at α=0.05. Assume conditions have been met. (show the work please)

1.  n = 135, T = 4.32, HA:μ≠0.5

2. n = 9, T = -1.67, HA:μ<0.3

3. n = 24, T = -5.64, HA:μ>0.2

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Step 1

1.

Given Information:

Step 2

The hypothesis is as:

Step 3

This is two tailed tail test and it is t-distribution.

Degree of freedom = n-1

=135-1

=134

We know that if the p-value is less than significance level then we reject the null hypothesis and accept the alternative hypothesis, and if the p-value is...

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