Question

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s. You are interested in whether a treatment causes an effect on a continuously measurable attribute. You use a treatment group with 7 cases and a control group with 7 cases. You decide to run a hypothesis test with a significance level of 0.01. Your data is below. Please use 10 for the degrees of freedom (calculated with the Welch-Satterthwaite equation). treatment control 2.5 1.68 1.59 1.46 2.12 1.13 2.87 1.76 1.51 1.27 1.78 1.29 2.45 1.29 (a) State the null hypothesis (b) State the alternative hypothesis. (c) Evaluate the critical value. (The critical value is either z or t. Determine its value.) (d) Determine the standard error of the relevant sampling distribution. (e) Evaluate the absolute value of the test statistic. (The test statistic is either Zobs Or tobas Determine its absolute value.) (1 If possible, evaluate the p-value. Otherwise, describe an interval containing the p- value (g) Do we reject or retain the null? 4. From a very large population, a random sample of 18000 individuals was taken. In that sample, 93.3% were blue. Determine a 98% confidence interval of the population propor- ion. (a) Find the lower bound of the confidence interval. (b) Find the upper bound of the condifence interval.

Answer 1

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HRTe we have: 000, P- 0.933 0.533土 2.33 x Ve-.9 3 3 X (1-0933) go00 933土 0.00 43 0.92-87 ,๐.3373 1.93.73 .