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Suppose you collect a sample that has a mean of 37 with a 99% confidence interval of [32,42], and you are interested in the hypothesis test below at the alpha level= 0.05.

H0: mean=43

Ha: mean is not equal to 43

a) Reject H0 with a p-value around 0.015

b) Fail to reject H0 with a p-value around 0.18

c) Fail to reject H0 with a p-value around 0.54

d) Reject H0 with a p-value around 0.035

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PoksLv6
14 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Suppose you conduct a test and your p-value is equal to 0.13. what can you conclude?

A) Reject the null hypothesis at alpha as 0.05 but not at alpha as 0.10.

B) Reject the null hypothesis at alpha as 0.05 but not at alpha as 0.01.

C) Reject the null hypothesis at alpha as 0.10 but not at alpha as 0.05.

D) Reject the null hypothesis at alpha as 0.01 but not at alpha as 0.05.

E) Reject the null hypothesis at alpha as 0.10, 0.05 and 0.01.

F) Do not reject the null hypothesis at alpha as 0.10, 0.05, and 0.01.

A random sample of soil specimens was taken from a large geographic area. The specimens can be assumed to be independent. The amount of organic matter, as a percent, was determined for each specimen. The data are below:
0.14, 0.32, 1.17, 1.45, 3.5, 5.02, 5.09, 5.22
A soil scientist wants to know whether the population mean percent organic matter is different than 4%. A
significance level of α = 0.05 is chosen.

    1. (a)  State hypotheses appropriate to the research question.
    2. (b)  Graph the data as you see fit. Why did you choose the graph(s) that you did and what does it (do they) tell you?
    3. (c)  Regardless of your conclusion from (b), use the bootstrap to perform a test of the hypotheses you stated in (a). Use B = 8000 resamplings. Compute the p-value, and make a reject or not reject conclusion. Then state the conclusion in the context of the problem. In other words, does it seem the mean organic matter level is different than 4%?
    4. (d)  Regardless of your conclusion from part (b), use a T -test to perform a test of the hypotheses you stated in (a). Compute the p-value, and make a reject or not reject conclusion. Then state the conclusion in the context of the problem. In other words, does it seem the mean organic matter level is different than 4%?. (I recommend doing this part with a hand calculator and statistical tables as practice for exam conditions, but you may check your answers using R if you wish.)
    5. (e)  Compare your answers from parts (c) and (d). Which method do you think is better? Are you surprised at the similarity or dissimilarity? What do you think explains this?

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