Question: A city manager uses a hypothesis test to evaluate a claim that the mean salary among hospitality workers in his city is less than $42,000.
A city manager uses a hypothesis test to evaluate a claim that the mean salary among hospitality workers in his city is less than $42,000. The data for this study came from a survey of 256 randomly selected hospitality employees in the city. A summary of the hypothesis test results is provided below. Test statistic: t = -1.731 Level of significance: = 0.05 P-value: 0.042 Interpretation: With a significance level of 0.05, there is sufficient evidence to support the claim that the mean salary for this group is less than $42,000. Using this information, select the best statement below regarding the conclusion for this hypothesis test. It is possible that a Type II Error was made because there may be an error in the calculations for the test statistic or P-value. It is possible that a Type I Error was made because the decision is based on a random sample, and there is a chance that we could see this result even if the null hypothesis is actually true. It is possible that a Type II Error was made because the decision is based on a random sample, and there is a chance that we could see this result even if the null hypothesis is actually false. It is possible that a Type I Error was made because there may be an error in the calculations for the test statistic or P-value
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