A technology company is studying the launch of their new laptop computers in order to track warranty purchases. The company states the average warranty length for their products is longer than 60 days. If we would like to test the company's claim with a hypothesis test using a significance level of alpha=0.05, which of the following choices are true? Select the correct answer below: There is a 5% chance we will conclude mu=60, but is in fact mu 60. There is a 5% chance of rejecting the null hypothesis. There is a 5% chance we will conclude mu 60, but is in fact mu=60. There is a 5% chance that mu 60. FEEDBACK MORE INSTRUCTION SUBMIT

Question

A technology company is studying the launch of their new laptop computers in order to track warranty purchases. The company states the average warranty length for their products is longer than 60 days. If we would like to test the company's claim with a hypothesis test using a significance level of  alpha=0.05, which of the following choices are true? Select the correct answer below: There is a  5% chance we will conclude  mu=60, but is in fact  mu > 60. There is a  5% chance of rejecting the null hypothesis. There is a  5% chance we will conclude  mu > 60, but is in fact  mu=60. There is a  5% chance that  mu > 60. FEEDBACK MORE INSTRUCTION SUBMIT

Bytelearn · Accepted Answer

Define hypotheses: Define the null and alternative hypotheses for the hypothesis test. The null hypothesis (H0) is a statement that there is no effect or no difference, and it is what we assume to be true until we have evidence to suggest otherwise. In this case, the null hypothesis would be that the average warranty length is 60 days (H0: mu = 60). The alternative hypothesis (Ha) is what we want to test for. It is a statement that indicates the presence of an effect or a difference. In this case, the alternative hypothesis would be that the average warranty length is greater than 60 days (Ha: mu > 60).Understand alpha: Understand the significance level (alpha). The significance level, denoted by alpha (α), is the probability of rejecting the null hypothesis when it is actually true. This is also known as the Type I error rate. In this case, alpha is set to 0.05, which means there is a 5% risk of committing a Type I error.Interpret significance level: Interpret the significance level in the context of the hypothesis test. The correct interpretation of the significance level in this context is that there is a 5% chance of rejecting the null hypothesis (that the average warranty length is 60 days) when it is actually true. This does not mean there is a 5% chance that the average warranty length is greater than 60 days, nor does it mean there is a 5% chance that we will conclude the average warranty length is 60 days when it is actually greater than 60 days.Identify correct answer: Identify the correct answer based on the interpretation of the significance level. The correct answer is: ＂There is a 5% chance of rejecting the null hypothesis.＂ This statement correctly reflects the definition of the significance level as the probability of making a Type I error, which is rejecting the null hypothesis when it is true.

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