A researcher wanted to test whether there is

Damaris Huffman

Damaris Huffman

Answered question

2022-03-18

A researcher wanted to test whether there is a relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults). To test that, subjects from the three age groups were asked which of the three sweets they preferred. Which statistical test should be used to analyze the data?
1. chi square test of independece
2. chi square test for goodness of fit
3. one sample t test
4. one way anova test

Answer & Explanation

Saul Murray

Saul Murray

Beginner2022-03-19Added 4 answers

In testing of hypothesis, we see different types of tests such as z test, chi-square test, t-test, One-way ANOVA, two-way ANOVA, etc. But all these tests are selected by looking at the given data. Selection of statistical test based on sample size, or standard deviation or number of variables, etc.
Here the required answer is
Option 1. chi square test of independece
Explanation:
Chi-square test of independence is used to test whether the variables are independent or dependent. So using this we can check the relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults).
Reason to reject other option:
Option 2 is rejected because the Chi-square test for goodness of fit is used to check whether the unknown distribution follows some known distribution. For example, The distribution of fruits is selected uniformly. This can be tested using chi-square goodness of fit.
The reason to reject option 3 and option 4 is, one sample t-test and One way ANOVA is used to numerical data. Bus the given data is categorical(different types of sweets). Hence we cannot use a one-sample t-test and One way ANOVA.

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