A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is 0.1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?Group of answer choicesType IIBothNeitherType I
Question
A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is 0.1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?Group of answer choicesType IIBothNeitherType I
Solution
The type of error possible in this situation is a Type II error. This type of error occurs when the null hypothesis is not rejected when it is false. In this case, the consumer group did not reject the manufacturer's claim (the null hypothesis), but there is a possibility that the claim is false, hence a Type II error could have occurred.
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