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The tub store boasts that over 65% of its salesmen have college degrees. Provide the formal null and alternative hypotheses for a test of this

  1. The tub store boasts that over 65% of its salesmen have college degrees. Provide the formal null and alternative hypotheses for a test of this question. Is this a one or two-tailed hypothesis?
  2. Do you have a large enough sample to conduct the correct hypothesis test? Explain with a valid calculation why or why not.
  3. If your answer to part 2 is yes, then conduct this hypothesis test based on the 95% significance level. Do you reject or fail to reject your null hypothesis? Why?
Tub Sales ($) College Degree (1 = Yes)
107000 1
87300 0
103000 1
97700 1
111600 1
95700 0
91200 0
119600 1
94200 0
91300 1
88700 0
109700 1
110400 0
90800 0
118300 1
91500 0
88800 0
97400 1
71800 0
106900 1
87000 0
84500 0
91100 1
95800 0
104100 1

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