a) Identify the claim and state H0 and Ha * (null hypothesis and Alternate hypot
ID: 3155572 • Letter: A
Question
a) Identify the claim and state H0 and Ha * (null hypothesis and Alternate hypothesis
B) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning
C) Find the critical value(s) identify the rejection region (s) and find the appropriate standardized test statistic.
D) Find the appropriate standardized test statistic and the P-valu
E) decide whether to reject or fail to reject the null hypothesis.
F) Intrepret the decision in the context of the original claim.
Explanation / Answer
a)
Formulating the null and alternative hypotheses,
Ho: u >= 21
Ha: u < 21 [ANSWER]
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b)
As we can see, this is a left tailed test. [ANSWER]
As n > 30, we can approximate this using a Z TEST. [ANSWER]
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c)
Thus, getting the critical z, as alpha = 0.01 ,
alpha = 0.01
zcrit = - 2.326347874
hence,
Reject Ho when z < -2.326. [ANSWER]
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D)
Getting the test statistic, as
X = sample mean = 19
uo = hypothesized mean = 21
n = sample size = 37
s = standard deviation = 4
Thus, z = (X - uo) * sqrt(n) / s = -3.041381265 [ANSWER, TEST STATISTIC]
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Also, the p value is, as this is left tailed,
p = 0.001177477 [ANSWER, P VALUE]
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e)
As P < 0.01, we REJECT THE NULL HYPOTHESIS.
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f)
There is significant evidence that the mean annual consumption of fresh-market tomatoes by a person in the US is less than 21 pounds at 0.01 level. [CONCLUSION]
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