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Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered...

Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas 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 pizza topping preference is independent of gender at the α=0.01α=0.01 level of significance.

Which would be correct hypotheses for this test?

  • H0:H0:Pizza topping preference and gender are independent; H1:H1:There is some relationship between a person's gender and their pizza topping preference
  • H0:μ1=μ2H0:μ1=μ2; H1:μ1≠μ2H1:μ1≠μ2
  • H0:p1=p2H0:p1=p2; H1:p1≠p2H1:p1≠p2
  • H0:H0: Pizza topping preference is dependent on gender; H1:H1: Pizza topping preference and gender are independent



Sample data:

Cheese Pepperoni Sausage Mushroom Veggie
Female 10 20 9 5 16
Male 27 25 13 7 5



Test Statistic (2 decimals):



Give the P-value (4 decimals):



Which is the correct result:

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



Which would be the appropriate conclusion?

  • There is sufficient evidence to suggest that there is a relationship between pizza topping preference and gender
  • There is not enough evidence of any relationship between pizza topping preference and gender
Math   Statistics-And-Probability   
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