Answer: d. 0.0047
Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.
To find p-value, first find the z-score:
z = [tex]\frac{x-\mu}{SE}[/tex]
x is sample mean
μ is population mean
SE is standard error calculated by [tex]\frac{s}{\sqrt{n} }[/tex]
SE = [tex]\frac{10}{\sqrt{50} }[/tex]
SE = 1.414
z = [tex]\frac{24-28}{1.414}[/tex]
z = - 2.83
The hypotheses ([tex]H_{0}, H_{a}[/tex]) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:
p-value = 0.00233*2
p-value = 0.0047
The p-value for this test is 0.0047
