Ink Pen Colours Narrative
A national survey stated that 30% of the population prefer to use a pen with black ink, 30% prefer blue ink, 25% prefer red ink, and 15% prefer some other colour. A statistics professor took a random sample of 80 students and asked them to state their ink colour preference. The following data was recorded:
-A take-out pizza palace offers four different pizzas. The manager believes that 45% of the single pizza customers prefer pepperoni pizza, 35% prefer the combination pizza, 15% prefer the taco pizza, and 5% prefer the vegetarian pizza. To check his belief, the manager takes a random sample of 100 single pizza orders and records the following information: Do the sample data present sufficient evidence to support the manager's belief? Test the appropriate hypotheses at the 10% significance level. Justify your conclusion.

Question

Ink Pen Colours Narrative
A national survey stated that 30% of the population prefer to use a pen with black ink, 30% prefer blue ink, 25% prefer red ink, and 15% prefer some other colour. A statistics professor took a random sample of 80 students and asked them to state their ink colour preference. The following data was recorded: 
-A take-out pizza palace offers four different pizzas. The manager believes that 45% of the single pizza customers prefer pepperoni pizza, 35% prefer the combination pizza, 15% prefer the taco pizza, and 5% prefer the vegetarian pizza. To check his belief, the manager takes a random sample of 100 single pizza orders and records the following information:  Do the sample data present sufficient evidence to support the manager's belief? Test the appropriate hypotheses at the 10% significance level. Justify your conclusion.

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The Answer of Ink Pen Colours Narrative
A national survey stated that 30% of the population prefer to use a pen with black ink, 30% prefer blue ink, 25% prefer red ink, and 15% prefer some other colour. A statistics professor took a random sample of 80 students and asked them to state their ink colour preference. The following data was recorded: 
-A take-out pizza palace offers four different pizzas. The manager believes that 45% of the single pizza customers prefer pepperoni pizza, 35% prefer the combination pizza, 15% prefer the taco pizza, and 5% prefer the vegetarian pizza. To check his belief, the manager takes a random sample of 100 single pizza orders and records the following information:  Do the sample data present sufficient evidence to support the manager's belief? Test the appropriate hypotheses at the 10% significance level. Justify your conclusion.