The corporate management at a paper company has reason to believe one of its (supposed) star managers, Michael, is making misleading claims about his regional market share. Michael recently claimed that his office is the sole paper provider to 45% of its region's businesses. Senior management suspects that Michael is misleading them about Michael’s office’s performance, and that the proportion of businesses that purchased their paper solely from Michael’s office is less than 45%. When the senior management conducted its own survey, they found that 36% of 180 randomly sampled representative businesses purchased their paper solely from Michael's office. Does this provide strong evidence that Michael is misleading the senior management about his office's performance? Conduct a full hypothesis test at the 5% level of significance. Explain your reasoning, giving diagrams where appropriate. please show what formulas to use in excel
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