1. In testing the null hypothesis that p = 0.3 against thealternative that p not equal 0.3, the probability of a Type IIerror is _____________ when p = 0.4 than when p = 0.6.
a. the same
b. smaller
c. larger
d. none of the above
2. During the pre-flight check, Pilot Jones discovers a minorproblem - a warning light indicates that the fuel guage may bebroken. If Jones decides to check the fuel level by hand, it willdelay the flight by 45 minutes. If Jones decides to ignore thewarning, the aircraft may run out of fuel before it gets to Gimli.In this situation, what would be:
i) the appropriate null hypothesis? and;
ii) a type I error?
Question 2 options:
| a. Null Hypothesis: assume that the warning can beignored.
Type I error: decide to check the fuel by hand when there is infact enough fuel. |
| | b. Null Hypothesis: assume that the warning can beignored.
Type I error: decide to ignore the warning when there is in factnot enough fuel. |
| c. Null Hypothesis: assume that the fuel should be checked byhand.
Type I error: decide to ignore the warning when there is in factnot enough fuel. |
| d.Null Hypothesis: assume that the fuel should be checked byhand. Type I error: decide to check the fuel by hand when there is infact enough fuel. |
| e.Null Hypothesis: assume that the aircraft is alreadylate.
Type I error: taking a commercial flight to Gimli in the firstplace. 3. Failure to reject the null hypothesis means: | a. acceptance of the alternative hypothesis. | | b. rejection of the null hypothesis. | | c. rejection of the alternative hypothesis. | | d. absolute acceptance of the null hypothesis. | | e.none of the above. 4. If the null hypothesis is false, increasing the level ofsignificance for a specified sample size will increase theprobability of rejecting the null hypothesis. |
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