Question

Twelve different video games showing drug usedrug use were observed. The duration times of drug usedrug use were​ recorded, with the times​ (seconds) listed below. Assume that these sample data are used with a 0.050.05 significance level in a test of the claim that the population mean is greater than 9090 sec. If we want to construct a confidence interval to be used for testing that​ claim, what confidence level should be used for a confidence​ interval? If the confidence interval is found to be 4.04.0 secless than

Answer 1

Answer:

a) The confidence level is 95%.

b) If the confidence interval, in seconds, is (4.0, 202.2) and the claim is that the population mean is greater than 90 seconds, we conclude that there is no enough evidence for that claim.

Step-by-step explanation:

a) If the hypothesis test is performed with a significance level of α=0.05, the confidence level that corresponds to this significance level is 95%:

$CL=1-\alpha=1-0.05=0.95$

If the confidence interval, in seconds, is (4.0, 202.2) and the claim is that the population mean is greater than 90 seconds, we conclude that there is no enough evidence for that claim.

The reason is that, with this confidence level, the confidence interval includes values that are below 90 seconds.

To have evidence to support that claim, the lower bound of the interval shouold have been greater than 90 seconds.