2) Example#2: (for Mean) Annual per capita consumption of milk in United States is 68 kg (Statista Research Department, Jan 22, 2020. You believe milk consumption in Midwest is higher and wish to test that. A sample of 30 individuals from the Midwestern town of Webster City showed a sample mean annual consumption of 71kg with a standard deviation of s=5 kg Does this data provide enough evidence to show that Midwest has higher milk consumption than US overall? Test at the 5% level. 1. Identify the population of the study: 2. Identify the sample selected for the study.: 3. Parameter of interest: 4. Perform a hypothesis test for this problem: a) State the Null and Alternative Hypothesis: b) Check assumptions required for this test (Z test for proportion) c) Compute the test statistic; d) Report the p-value (using this link) e) State your conclusion. 5) Compute a 95% confidence interval show the steps below: a) Compute and Report SE (ybar) b) Compute and report Margin of error; c) Compute a 95% CI interval and interpret it 6) Did you get the same conclusion (from Hypothesis test and CI)? Explain your answer. 7) Do you think your conclusion will change (or not and how) if you selected: My Conclusion a) more people (n=50): stay the same will change Don't know b) use alpha 0.1 instead of 0.05: stay the same will change Don't know
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Identify the population of the study: The population of the study is the annual per capita consumption of milk in the Midwest. Show more…
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22) Read the following and answer questions 22-26 In the 1980's it was believed that congenital abnormalities affected about 5% of the nation's children. Somepeople believe that an increase in the chemicals in the environment has led to an increase in the number of abnormalities. A recent study examined 384 randomly selected children and found that 23 of them showed signs of an abnormality. Does this provide evidence that the risk of congenital abnormalities has increase? Use Ě‘ = 0.05 to make your decision. What would the appropriate hypotheses be for this problem? A) H0 : p = 0.05; Ha : p > 0.05 B) H0 : p = 0.05; Ha : p not equal 0.05 C) H0 : p < 36; Ha : p > 36 D) H0 : p = 0.05; Ha : p < 0.05 23) What would the standard error be for this problem? A) 0.011122 B) 0.0133 C) 0.7911 D) 10^(-4) 24) What is the resulting test statistic? A) 0.89 B) 0.623 C) 0.712 D) -0.89 25) What is the resulting p-value? A) 0.1867 B) 0.224 C) 0.712 D) 0.1494 26) What is the appropriate conclusion? A) The p-value is greater than alpha. We DO NOT reject the null hypothesis. This DOES NOT provide evidence that the risk of congenital abnormalities has increased. B) The p-value is greater than alpha. We DO NOT reject the null hypothesis. This provides evidence that the risk of congenital abnormalities has increased. C) The p-value is smaller than alpha. We reject the null hypothesis. This DOES NOT provide evidence that the risk of congenital abnormalities has increased. D) The p-value is greater than alpha. We reject the null hypothesis. This provides evidence that the risk of congenital abnormalities has increased.
T. L.
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