5 Dec 2022

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Hypothesis Testing and Probability Analysis

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Academic level: University

Paper type: Essay (Any Type)

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Pages: 3

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Null Hypothesis: The average price for a gallon of self-serve regular unleaded gasoline in my area is not higher than 

Alternate Hypothesis: The average price for a gallon of self-serve regular unleaded gasoline in my area is higher than 

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Degrees of freedom: 

t-critical value = 

Since the t-statistic is smaller than the critical value, we fail to reject the null hypothesis that the average price for a gallon of self-serve regular unleaded gasoline in my area is not higher than 

Question 5

Null Hypothesis: The proportion of the population of CEOs that get their news from newspapers is equal to 47%

Alternate Hypothesis: The proportion of the population of CEOs that get their news from newspapers is not equal to 47%.

Therefore, since the z statistic is greater than the z critical, we reject the null hypothesis and accept the alternate hypothesis that the proportion of the population of CEOs that get their news from newspapers is not equal to 47%.

Question 6

Null hypothesis: Men do not spend more than women buying gifts and cards on valentines’ day.

Alternate hypothesis: Men spend more than women buying gifts and cards on valentine’s day

t-Test: Two-Sample Assuming Equal Variances     
     
 

Men 

Women 

Mean 

106.4542 

88.82417 

Variance 

718.389 

570.9753 

Observations 

12 

12 

Pooled Variance 

644.6821 

 
Hypothesized Mean Difference 

 
df 

22 

 
t Stat 

1.700807 

 
P(T<=t) one-tail 

0.051537 

 
t Critical one-tail 

2.508325 

 
P(T<=t) two-tail 

0.103073 

 
t Critical two-tail 

2.818756 

 

From the table above, the t-stat is less than the t critical value of a one tailed test, therefore, we fail to reject the null hypothesis that men do not spend more than women buying gifts and cards on valentines’ day

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StudyBounty. (2023, September 15). Hypothesis Testing and Probability Analysis.
https://studybounty.com/hypothesis-testing-and-probability-analysis-essay

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