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Is a person's favorite type of donut dependent on their gender? A random sample of donuts ordered and the gender of the person who ordered

Is a person's favorite type of donut dependent on their gender? A random sample of donuts ordered and the gender of the person who ordered were recorded and the results are found in the table below. Use this data to test whether or not donut preference is independent of gender at the =0.10=0.10 level of significance. Which would be the correct hypotheses for this test?

  • H0:p1=p2; H1:p1p2
  • H0:1=2; H1:12
  • H0: Donut preference is dependent on gender; H1: Donut preference and gender are independent
  • H0:Donut preference and gender are independent; H1:There is some relationship between a person's gender and their donut preference

Sample data:

Glazed Jelly Custard Bacon Sprinkles
Female 23 10 6 4 15
Male 24 19 20 18 4

Test Statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0): Which is the correct result:

  • Do not reject the Null Hypothesis
  • Reject the Null Hypothesis

Which would be the appropriate conclusion?

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