(a) Identitfy the null and alternative hypotheses (b) Calculate the standardized
ID: 3263562 • Letter: #
Question
(a) Identitfy the null and alternative hypotheses
(b) Calculate the standardized test statistic
(c) Determine the critical value(s)
(d) Determine the outcome and conclusion of the test.
Test the claim about the population mean, , at the given level of significance using the given sample statistics. Claim: = 50; = 0.03; = 3.68. Sample statistics: x-48.2, n-78 ldentify the null and alternative hypotheses. Choose the correct answer below. O B. Ho : #50 Ha : -50 OD. Ho : = 50 Ha : 50 A. Ho : = 50 Hai 50 O c. How>50 ( C. Ho : > 50 Ha: -50 E. Ho :Explanation / Answer
(a) Option A
(b)
Data:
n = 78
= 50
s = 3.68
x-bar = 48.2
Hypotheses:
Ho: = 50
Ha: 50
Test Statistic:
SE = s/n = 3.68/78 = 0.416677949
z = (x-bar - )/SE = (48.2 - 50)/0.416677948565211 = -4.319883032
(c) = 0.03
Lower Critical z- score = -2.170090378
Upper Critical z- score = 2.170090378
(d) p- value = 0
Since 0 < 0.03, we reject Ho
There is sufficient evidence that 50.
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