Earl isn't correct: the number 1,456 represents the total number of tickets sold, rather than simply six times the number of tickets sold.
Let x= the discount ticket price
1456 = 6x + x
1456 = 7x
x = 28
28 discount tickets were sold. The total number of tickets sold is equal to both the number of discount tickets sold plus six times that number: 1,456 = 6x+ x. Solve for x.
Answer:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
I believe the answer is the first option. 1 to 3 with intervals of 1.
Hope this helps!