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Which of the following options hold true for the null hypothesis?Note: Multiple options can be correct.The claim with only the ‘less than’ signThe claim with the ‘less than or equal to’ signThe claim with the ‘equal to’ signThe claim with the ‘not equal to’ sign

Question

Which of the following options hold true for the null hypothesis?Note: Multiple options can be correct.The claim with only the ‘less than’ signThe claim with the ‘less than or equal to’ signThe claim with the ‘equal to’ signThe claim with the ‘not equal to’ sign

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Solution

The null hypothesis in statistical testing is typically a statement that suggests no statistical significance exists in a set of observed data. It is often denoted as H0. The null hypothesis is usually one of status quo or no difference.

  1. The claim with only the ‘less than’ sign: This is typically not a null hypothesis. A null hypothesis usually states that two things are equal, so a less than sign would not be used.

  2. The claim with the ‘less than or equal to’ sign: This is also typically not a null hypothesis. Again, a null hypothesis usually states that two things are equal, so a less than or equal to sign would not be used.

  3. The claim with the ‘equal to’ sign: This is typically a null hypothesis. The null hypothesis often states that two things are equal, so an equal sign would be used.

  4. The claim with the ‘not equal to’ sign: This is typically not a null hypothesis. This is usually an alternative hypothesis, which is the opposite of a null hypothesis. The alternative hypothesis states that there is a statistically significant difference between the groups being tested.

So, the correct option is: The claim with the ‘equal to’ sign.

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