6. [Inferential statistics, 40 points] e wish to create a 99% confidence interva
ID: 3326348 • Letter: 6
Question
6. [Inferential statistics, 40 points] e wish to create a 99% confidence interval for a population proportion. We sample 52 individuals, and find 44 successes. Can we proceed? Why or why not? A statistician is handed the contingency independence. Although the p-v experiment is invalid, looking only at the expected frequencies. Why can she do this? table data and the results of the chi-square test for alue clearly indicates dependence, she determines that the b. c. We are performing a hypothesis test for the mean of a numerical variable, where the data comes from a sample of size 16. If the test is valid, what must be true about the variable? d. A nursing researcher believes that women with young children at home will recover from severe depression more quickly than others, and so constructs a one-sided hypothesis test on mean time to recovery. After carefully designing the experiment, he collects data on time to recovery for 48 female patients with young children and compares their mean recovery time against a benchmark figure for the population as a whole. A quick look at the data is sufficient to convince him that the Null Hypothesis will be retained, without any further calculation. What would justify doing this conclusion without any further computation?Explanation / Answer
c.
variable population is normally distributed
b.
p = 48/51
n = 51
we can not proceed because n(1-p) = 3 < 5
a.
more than 20% of the expected frequencies are less than 5
d.
sample mean is close to the benchmark figure
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