Question

The Rossman Chance applet was used to create a simulated distribution of 1000 sample statistics. The resulting simulated distribution is shown above.

• What is the sample statistic?
  
• Which symbol is used for the statistic in this problem?
  
  • μμ
  • ¯xx¯
  • ππ
  • ˆpp^
  
  
• Which hypotheses is being tested?
  
  • H₀: ππ = 0.0420
    H_A: ππ < 0.0420
  • H₀: μμ = 0.86
    H_A: μμ < 0.86
  • H₀: ππ = 0.76
    H_A: ππ < 0.76
  • H₀: ππ = 0.86
    H_A: ππ < 0.86
  
  

• What is the p-value?
  
  
  
• (Your instructor will manually grade the following) The sentence in bold below gives a literal interpretation of the p-value. Complete the sentence in bold below by filling in the blanks. Overall, the completed sentence has the form "If we assume that ____, then the probability of _____ is ______."
  
  If we assume that _____
  
  then the probability of _____
  
  is _____.
  .

Answer 1

Solution :

Sample statistic is sample proportion value = 0.76

Symbol used for statistic =

hypothesis :  Since 0.86 is at the middle of the given histogram, hypotheses should be,

P value is shaded area to the left of 0.76

P value = 0.0420

Interpretation of the P - value :

If we assume that the null hypothesis H0 is true, then the probability of sample proportion is less than 0.76 is 0.0420

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