Let m = true population mean. In order to test H0: m = 2.6 versus Ha: m is not equal to 2.6 we draw 225 samples from the population and computed T_{obs} = 2.44, where T_{obs} is the observed value of the test statistics. Determine the p-value of the large sample test.
Group of answer choices
A) p-value = 0.9854
B) p-value = 0.9927
C) p-value = 0.0073
D) p-value = 0.0146
Given that, the null and alternative hypotheses are,
H0 : μ = 2.6
Ha : μ ≠ 2.6
This hypothesis test is a two-tailed test.
Test statistic is, T_{obs} = 2.44
Since, sample size is n = 225 is very large we used z-table to find the p-value for this hypothesis test.
p-value = 2 * P(Z > 2.44)
=> p-value = 2 * [ 1 - P(Z < 2.44) ]
=> p-value = 2 * [ 1 - 0.9927 ]
=> p-value = 2 * 0.0073
=> p-value = 0.0146
Answer : D) p-value = 0.0146
Let m = true population mean. In order to test H0: m = 2.6 versus Ha:...
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