Question

Suppose the management claims that the proportion of games that your team wins when scoring 80 or more points is 0.50. You tested this claim using a 5% level of significance. Explain the steps you took to test this problem and interpret your results.

See Step 5 in the Python script to address the following items:

• In general, how is hypothesis testing used to test claims about a population proportion?
• Summarize all important steps of the hypothesis test. This includes:
  1. Null Hypothesis (statistical notation and its description in words)
  2. Alternative Hypothesis (statistical notation and its description in words)
  3. Level of Significance
  4. Report the Test Statistic and the P-value in a formatted table as shown below:

Table 4: Hypothesis Test for the Population Proportion

Statistic	Value
Test Statistic	0.73
P-value	0.46

• 5. Conclusion of the hypothesis test and its interpretation based on the P-value
• What are the implications of your findings from this hypothesis test? What is its practical significance?

Proportion of games won by your team when scoring more than 80 points in the years 2013 to 2015 = 0.5244
Hypothesis Test for the Population Proportion
Test Statistic = 0.73
P-value = 0.4628

Answer 1

1. Null Hypothesis (statistical notation and its description in words)

the proportion of games that your team wins when scoring 80 or more points is 0.50

Ho:p=0.50

Alternative hypothesis

the proportion of games that your team wins when scoring 80 or more points is not 0.50

Ha:p not = 0.50

1. Level of Significance

alpha=0.05

1. Report the Test Statistic and the P-value in a formatted table as shown below:

• 1. Conclusion of the hypothesis test and its interpretation based on the P-value
• What are the implications of your findings from this hypothesis test? What is its practical significance?

Proportion of games won by your team when scoring more than 80 points in the years 2013 to 2015 = 0.5244 Hypothesis Test for the Population Proportion Test Statistic = 0.73 P-value = 0.4628

p=0.4623

alpha=0.05

p>0.05

Fail to reject Ho
Accept Ho

There is sufficient statistical evidence at 5% level of significance to conclude that

the proportion of games that your team wins when scoring 80 or more points is 0.50.