What is the null hypothesis for the type of test fromexercise given below

Which test do you use to decide whether an observed distribution is the same as an expected distribution?

Short Answer

Expert verified

H0 : The population is fit to the given distribution

Step by step solution

01

Step  1 Given Information

We have to find the null hypothesis for the goodness of fit test

02

Explanation

We can write the null hypothesis in a goodness of fit test. Assume that the populationH0meets the given distribution.

Also, because the population does not fit the stated distribution, we can formulate the alternative hypothesisH1.

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Most popular questions from this chapter

Determine the appropriate test to be used in the next three exercises.

An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day's trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.

Table 11.42contains information from a survey among 499participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample of the USA obese population.

Age Class (Years) Obese Expected (percentage) Obese Observed (Frequencies)
20-30
22.4
122
31-40
18.6
104
41-50
12.8
78
51-60
10.4
64
61-70
35.8
168

Table11.42

If df=2, the chi-square distribution has a shape that reminds us of the exponential.

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p-value = ________

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