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# We would like to conduct a hypothesis test of H0: = 50 vs. = 50 for the mean of some normally distributed variable X. A random sample of 25...

We would like to conduct a hypothesis test of H0: μ = 50 vs. Ha: μ ̸= 50 for the mean μ of some normally distributed variable X. A random sample of 25 observations is taken from the population. A 90% confidence interval for μ is calculated to be (44.46, 49.58). A 96% confidence interval for μ is calculated to be (43.82,50.22). The P-value of the appropriate test of significance must be: