Define the null value as the value the parameter is set to ____________ in the null hypothesis.

Type 1 error

Type 2 error

one-sided test

two-sided test

We will find it most useful if we always list the null hypothesis as an inequality while the alternative always uses an equality. 

Infer that if a confidence interval does not contain the null value, the null hypothesis should be retained.

If the p-value______ the significance level, reject the null hypothesis since this means that obtaining a sample statistics at least as extreme as the observed data is extremely unlikely to happen just by chance, and conclude that the data provides evidence for the alternative hypothesis.

If the p-value ______ the significance level, fail to reject the null hypothesis since this means that obtaining a sample statistics at least as extreme as the observed data is quite likely to happen by chance, and conclude that the data does not provide evidence for the alternative hypothesis.

Choose the incorrect explanation on the following hypotheses testing. H0x¯>1.8 HAx¯=1.8

A 90% confidence interval for the mean waiting time at a restaurant was (2.4 minutes, 19.5 minutes). A customer claims that the average waiting time at this restaurant is 10 minutes and it is supported by the confidence interval.

With large sample sizes, even small differences between the null value and the point estimate can be statistically significant.

We randomly sample 50 items from Target stores and note the price for each. Then we visit Walmart and collect the price for each of those same 50 items. Since we collect the price from the same items, it's a paired data.

A study with 21 transplants for 21 children was reported where ultrasounds were taken at the time of liver transplant and again 10 years later to determine the diastolic blood pressure (DBP) of the hepatic artery. It is interested if liver transplant changes the mean DBP 10 years after transplant. Assume that the underline distribution is normal distribution. State the alternative hypothesis.

A study with 21 transplants for 21 children was reported where ultrasounds were taken at the time of liver transplant and again 10 years later to determine the diastolic blood pressure (DBP) of the hepatic artery. It is interested if liver transplant changes the mean DBP 10 years after transplant. Assume that the underline distribution is normal distribution. Choose the appropriate testing method of the study.

Choose the best interpretation of the study based on the p-value in the previous question.

A 95% confidence interval estimate of the mean difference μA−μB is (-2.67, 0.49). Then it appears that group A has less mean than that of group B.

Seven observations of each group I, II are collected to see if there is any mean difference between group I and II. Assume that the scores in each group has an approximately normal distribution, and equal variances are satisfied. Fill the blank below to determine a 95% confidence interval for the mean score difference between group I and group II. 95% CI = (50.3714 - 66.6571) + ________ * Spooled2(17+17)