Answer :
Answer:
The p-value of the test statistic is p-value = 0.006.
The null hypothesis will be rejected at 5% level of significance.
Step-by-step explanation:
The hypothesis is two-tailed.
The test statistic value is: z = -2.75.
The significance level of the test is: α = 0.05.
The p-value of a two-tailed test is:
[tex]p-value=2P(Z<z) \\= 2\times P (Z < -2.75)\\=2\times 0.00298\\=0.00596\\\approx0.006[/tex]
**Use the z-table for the probability.
The p-value of the test statistic is p-value = 0.006.
The decision rule for a hypothesis test based on p-value is:
If the p-value is less than the significance level the null hypothesis is rejected and vice-versa.
The p-value = 0.006 < α = 0.05.
Thus, the null hypothesis will be rejected at 5% level of significance.
