Question

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.

          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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Added by Hannah H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ajiboye Tunde

12/06/2021

Step 1

21\), \(q = 1 - p = 0.79\), and \(n = 200\), we can plug these values into the formula: \[SE = \sqrt{\frac{0.21 \times 0.79}{200}}\] \[SE = \sqrt{\frac{0.16659}{200}}\] \[SE = \sqrt{0.00083295}\] \[SE = 0.02885\] Therefore, the standard error is 0.02885. ** 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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