In: Statistics and Probability
1,
Which one of the following statement explains the definition of Type I error:
Pick one
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 Reject the null hypothesis when the null hypothesis is true  | 
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 Reject the null hypothesis when the null hypothesis is false  | 
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 Fail to reject the null hypothesis when the null hypothesis is true  | 
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 Fail to reject the null hypothesis when the null hypothesis is false  | 
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 none of the above  | 
2,
You test a hypothesis and you get a t-score = 2.87. If the p-value is 0.054 and the significance level alpha=0.05, you will be able to reject the null hypothesis. Pick one
True
False
3,
If the null hypothesis is µ = 0, which one of the following statements is a two-tailed alternative hypothesis? Pick One
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 H1: µ < 0  | 
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 H1: µ ≠ 0  | 
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 H1: µ > 0  | 
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 H1: µ = 0  | 
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 none of the above  | 
4,
Suppose we divide the states into two groups. Let population H be states with high levels of state funding and population L be states with low levels of state funding.
If we want to examine whether state funding changes education performance, how would you state the null hypothesis and alternative hypothesis?
Note: you may use != to stand for "not equal to".