The test statistic is z = 2.75, the critical value

infogus88

infogus88

Answered question

2022-05-21

The test statistic is z = 2.75, the critical value is z = 2.326. The probability value is_________.
Select one:
a. not measurable
b. greater than the significant level
c. equal to the significant level
d. less than the significant level

Answer & Explanation

thoumToofwj

thoumToofwj

Beginner2022-05-22Added 16 answers

Given:
Test-statistic Z = 2.75
Critical value of Z = 2.326
Explanation:
p-value:
p-value is used to make conclusions in significance testing.
In order to make conclusions, First we compare the p-value to significance level  α to make conclusions about the Hypothesis.
Since, Critical value of Z = 2.326
Which is at 0.01 significance level and for right tailed test.
So, Significance level  α = 0.01
Since the test is right tailed
p-valued = P(Z≥2.75)
= 1-P(Z<2.75)
= 1-0.99702 {From standard normal table.}
p-valued = 0.0030
0.0030<0.010
p-value is less than 0.01 level of significance.
Answer:
d). The probability value is = 0.0030, less then the significance level.

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