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 |
0 |
|
| 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
