asked 125k views
1 vote
If d falls between 4-dU and 4-dL

A) The null hypothesis is rejected
B) The null hypothesis is accepted
C) The confidence interval is narrow
D) The sample size is inadequate

asked
User Bain
by
7.7k points

1 Answer

5 votes

Final answer:

If d falls between 4-dU and 4-dL, the proper conclusion at an alpha level of 0.05 is to not reject the null hypothesis because the evidence is not sufficient to show a significant difference from the hypothesized parameter.

Step-by-step explanation:

When d falls between 4-dU and 4-dL, and given the context of hypothesis testing with an alpha level of 0.05, the correct interpretation would be that there is insufficient evidence to reject the null hypothesis (do not reject the null hypothesis). Therefore, answer A) 'The null hypothesis is rejected' is incorrect, and answer B) 'The null hypothesis is accepted' is appropriate. The interval from 4-dU to 4-dL can be viewed as a confidence interval. If the value of d is within this interval, there is not enough statistical evidence to conclude a significant difference from the hypothesized mean, assuming that d represents a sample estimate, and 4 is the hypothesized population parameter.

From the additional information provided, in the context of visiting a doctor or studying hours, we can similarly draw conclusions about whether the null hypothesis should be rejected or not, based on the alpha level and the evidence (p-value) from sample data.

answered
User Lashaunda
by
8.8k points
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