A medical researcher wants to determine if the proportion of premature male babies who reach 20 pounds in weight by one year old is greater than the proportion of premature female babies who reach 20 pounds in weight by one year old. The hypotheses for this research are: Ho: p male = p female and Ha: p male > p female From a random sample of 90 premature male babies it was determined that 68 had reached 20 pounds by one year old. From a random sample of 73 premature female babies it was determined that 46 of them had reached 20 pounds in weight by one year old. What is the test statistic for this scenario's hypothesis test?
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For male babies, the sample proportion (p_male) is 68/90 = 0.7556. For female babies, the sample proportion (p_female) is 46/73 = 0.6301. Show more…
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A researcher claims that based on the information obtained from the Centers for Disease Control and Prevention, 21% of young people ages 2-19 are obese. She believes this value should be lower. To test this claim, she randomly selected 200 people ages 2-19 and found that 42 were obese. State the hypothesis: H0: The proportion of obese young people ages 2-19 is 21%. Ha: The proportion of obese young people ages 2-19 is less than 21%. Calculate the standard error (SE). Use the formula: SE = √(p(1-p)/n) Suppose the p-value is 0.0668, interpret the result at a level of significance α = 0.05.
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