Hypothesis Testing Preeclampsia Risk

Question Description

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Hypothesis testing is a process of testing the hypothesis by comparing it to the null hypothesis based on assumptions regarding a population parameter. The six steps of hypothesis testing are:

  • Choosing the right statistic test.
  • Checking the assumptions to make sure it is acceptable to do the test.
  • Listing the null and alternative hypotheses.
  • Finding the critical value of the statistics that determine when to reject the null hypothesis.
  • Calculating the values of the test statistics.
  • Interpreting the result (Corty, 2016).

Scenario: A health issue found in the healthy people 2020 website is obesity and high blood pressure. Therefore, a proposed scenario is a random sample of 30 pregnant women with a sample mean BMI of 28 or less who has a higher risk of preeclampsia. The population means of pregnant women’s BMI is 30 and above with a higher risk of preeclampsia with a standard deviation of 15. The following six steps will determine whether the null is rejected:

  • 1. Based on the six steps of hypothesis testing, the type of statistic testing will be a Z-test.
    • 2. The assumptions are, the pregnant woman’s blood pressure and BMI must be monitored periodically throughout the pregnancy from machines that are correctly calibrated. Data should be both recorded and stored appropriately without room for misinterpretation or error. Additionally, apart from obesity, the pregnant woman should not have any underlying illness that are risk factor for preeclampsia. 3. The null and alternative hypothesis: 1. The null hypothesis: accepted fact that the mean BMI for pregnant women with risk for preeclampsia is 30, so: H0: p = 30 2. The alternative hypothesis: the claim that the mean BMI for pregnant women with risk for preeclampsia is less the average, HA: p < 30. 4. To determine the decision of the null hypothesis, the critical region approach will tell whether to reject the null hypothesis at the significance level of a= 0.05, level if z-score Z = -1.645. 5. To find the calculation of the z test, four components are needed, the sample mean (28), the population mean (30), standard deviation (15), and observation (30); the results is (28-30) / (15/(sq30)) = -2.82. 6. The calculated z-score of -2.82 is less than -1.645, therefore, the null is not rejected, and the null hypothesis is correct, pregnant women with a mean BMI of 30 have a higher risk of preeclampsia.

Reference

Corty, E. (2016). Using and interpreting statistics: A practical text for the behavioral, social, and health sciences (3rd ed.). New York, NY: Macmillan Learning.

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