Level of significance of hypothesis test


Data is collected to test the hypotheses.

Ho : p= 0.35 vs Ha: p ( can not equal ) 0.35

1. You obtain a p-value of 0.021. Which of the following is true ?

a) A 95% confidence interval for p will include the value 0.35

b) A 99% confidence interval for p will include the value 0.35

c) A 90% confidence interval for p will include the value 0.35

d) None of the confidence intervals listed above will include the value 0.35

2. We calculated a 90% confidence interval for p to be (0.36, 0.67 ) and want to test the following:

Ho: p= 0.35 vs Ha: p ( can not equal) 0.35

a) If the above confidence interval is used to test the given hypotheses, what would the statistical decision be ?

b) What would the level of significance of the hypothesis test be?

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Basic Statistics: Level of significance of hypothesis test
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