In a recent study, researchers found that 40 out of 250 boys aged 7-13 were overweight or obese. On the basis of this study can we conclude that more than 15% of the boys aged 7-13 in the sampled population are overweight or obese? Use a 5% level of significance.1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic, and 5) your conclusion including a comparison to alpha or the critical value.

Question
Asked Oct 17, 2019

In a recent study, researchers found that 40 out of 250 boys aged 7-13 were overweight or obese. On the basis of this study can we conclude that more than 15% of the boys aged 7-13 in the sampled population are overweight or obese? Use a 5% level of significance.

1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic, and 5) your conclusion including a comparison to alpha or the critical value. 

check_circle

Expert Answer

Step 1

1) Stating the appropriate null and alternative hypotheses:

Based on the study, it was found that 15% of the boys aged 7-13 were overweight or obese. The experiment found that 40 out of the 250 boys aged 7-13 were overweight or obese.

Let p be the proportion of boys aged 7-13 were overweight or obese.

The hypotheses are given below:

Null hypothesis:

H0 : p = 0.15.

That is, the proportion of boys aged 7-13 were overweight or obese is 0.15.

Alternative hypothesis:

Ha : p > 0.15.

That is, the proportion of boys aged 7-13 were overweight or obese is greater than 0.15.

Step 2

2) Since the data deals with proportion, the z-test for proportion can be used for the testing.

Step 3
  1. Decision rule:

If test statistics value is greater than critical value then reject the null hypothesis. Otherwise fail to reject the n...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: 2.d in pictures

A: Confidence Interval is calculated using the formula shown below:

question_answer

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be ...

A: Part a)Probability that the person is female is 0.56.Calculations:

question_answer

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be ...

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of ...

question_answer

Q: The tallest living man at one time had a height of 248248 cm. The shortest living man at that time h...

A: Given DataTallest man height = 248 cmShortest man height = 69.8 cmMean height of the men = 174.24Sta...

question_answer

Q: Prove the following:Suppose thatX is a tidy set. Then for any sets a and b, if a ∈ b and b ∈ X, then...

A: Consider,X be a tidy set that represent all data set that each column is a variable and each raw is ...

question_answer

Q: A company wants to evaluate its attrition rate, in other words, how long new hires stay with the com...

A: Conditions for a discrete probability distribution:Probability value of an event should be non-negat...

question_answer

Q: Which of the following statements is not true?     There is only one median for each variable....

A: Median:Median divides the observations into two equal parts. It represents the middle value for a se...

question_answer

Q: Can the value 2 be a probability?

A: Valid conditions for probability: The probability is non-negative. That is, the probability is alway...

question_answer

Q: Suppose that the average number of Facebook friends users have is normally distributed with a mean o...

A: Given dataMean = 130Standard deviation = 49n = 44The first quartile means, the probability = 0.25The...