Statistics-Priscilla Bongungu STAT 250-004

QUESTION

1Priscilla BongunguSTAT 250-004Professor: K. StrazzeriData Analysis Assignment 4Problem 1: Got MilkAccording to the U.S. Department of Agriculture, 58.8% of males between 20 and 39 years oldconsume the minimum daily requirement of calcium. After an aggressive “Got milk” advertisingcampaign, the USDA conducted a survey of 55 randomly selected males between the ages of 20and 39 and found that 36 of them consume the recommended daily allowance of calcium.a) Construct a 90% confidence interval for the above data. Show your work using theformulas and verify your work using StatCrunch.b) At the = 0.01, is there evidence to conclude that the percentage of males between theages of 20 and 39 who consume the recommended daily allowance of calcium hasincreased? Conduct a full hypothesis test by following the steps below.i.ii.iii.iv.v.vi.State the null and alternative hypotheses.State the significance level for this problem.Check the conditions that allow you to use the test statistic, and, ifappropriate, calculate the test statistic.Calculate the p-value and include the probability notation statement.State whether you reject or do not reject the null hypothesis.State your conclusion in context of the problem (i.e. interpret your results).c) Explain the connection between the confidence interval and the hypothesis test in thisproblem (discuss in relation to the decision made from your hypothesis test).2Problem 2: Mercury in Freshwater FishExperts believe that 20% of all freshwater fish in the United States have such a high level ofmercury that they are dangerous to eat. Suppose a fish market has 250 fish tested and 60 of themhave dangerous levels of mercury. Test the hypothesis that this sample is not from a populationwith 20% dangerous fish. Use = 0.10.i.ii.iii.iv.v.vi.vii.State the null and alternative hypotheses.State the significance level for this problem.Check the conditions that allow you to use the test statistic, and, ifappropriate, calculate the test statistic.Calculate the p-value and include the probability notation statement.State whether you reject or do not reject the null hypothesis.State your conclusion in context of the problem (i.e. interpret your results).Use StatCrunch to verify your test statistic and p-value.Problem 3: Explore the Confidence Interval AppletStart in StatCrunch by clicking Applets Confidence Intervals for a proportion. Choose anyvalues for p (between 0.01 and 0.99), set the confidence level between 90% and 99%, and chooseppa sample size where n ^ > 10; n(1 – ^ ) > 10. Click Compute! Then, once your first 100intervals have been constructed, click the 1000 intervals button. You will now have 1100 totalintervals. Copy and paste your graph of many confidence intervals (your graph will representintervals 1001 to 1100). Discuss the percentage capturing p in relation to the correct confidenceinterval interpretation learned in class.Please complete the entire applet again using the same p and confidence level you chose, but thispptime, choose a small enough sample size where n ^ < 10; n(1 – ^ ) < 10. Repeat theprocess above to obtain 1100 intervals. Again, copy and paste your graph and discuss thepercentage capturing p in relation to the correct confidence interval interpretation learned inclass.Problem 4: Smoking BansOn November 3 – 5, 2010, the Gallup Organization surveyed 1028 adult Americans and foundthat 463 said they supported a ban on smoking in public places. More recently, on October 15 –317, 2014, the Gallup Organization surveyed 997 adult Americans and found that 550 supported aban on smoking in public places.a) Construct a 93% confidence interval for the above data. Show your work using theformulas and verify your work using StatCrunch.Continued belowb) Construct a 98% confidence interval for the above data. Show your work using theformulas and verify your work using StatCrunch.c) Interpret the confidence interval calculated in part (b) as we learned in class.d) At the = 0.05, is there evidence to conclude that a difference in opinion exists overtime? Conduct a full hypothesis test by following the steps below.i. State the null and alternative hypotheses.ii. State the significance level for this problem.iii. Check the conditions that allow you to use the test statistic, and, if appropriate,calculate the test statistic.iv. Calculate the p-value and include the probability notation statement.v. State whether you reject or do not reject the null hypothesis.vi. State your conclusion in context of the problem (i.e. interpret your results).vii. Use StatCrunch to verify your test statistic and p-value.Note: To add formulas to a Word document, go above to Insert object Microsoft Equation3.0. You can also copy and paste the following formulas when you need them (double click onthe formula to replace the letters with numbers).ˆp z *zˆˆp1 pnˆp p0p 0 1 p 0nˆˆ( p1 p 2 ) z *zˆˆˆˆp1 1 p1 p 2 1 p 2n1n2ˆˆ( p1 p 2 ) ( p1 p 2 )11ˆˆp p (1 p p )n1 n2

ANSWER:

REQUEST HELP FROM A TUTOR