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Volgvan
3 years ago
9

A null hypothesis can only be rejected at the 5% significance level if and only if:

Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

Option (B) a 95% confidence interval does not include the hypothesized value of the parameter              

Step-by-step explanation:

Alpha, α = 0.05

We conduct a hypothesis test at 5% significance level.

The null hypothesis will be rejected when

Option (B) a 95% confidence interval does not include the hypothesized value of the parameter

  • When a 95% confidence interval is constructed,it contains all the possible values for the parameter being estimated.
  • If the value of the parameter stated in the null hypothesis is contained in the 95% confidence interval, then we fail to reject the null hypothesis 0.05 level and accept it.
  • If the value stated in the null hypothesis is not in the interval, then we fail to accept the null hypothesis and reject the null hypothesis at the 0.05 level.
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I've drawn a triangle to represent the journey (see attached.

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