Answer:
Step-by-step explanation:
We need to use the formula to calculate the probability of (A or B) where
A=Probability a student likes pepperoni
B=Probability a student likes olive
A and B =Probability a student likes both toppings in a pizza
A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or
The formula is
Since 6 students like pepperoni out of 9:
Since 4 students like olive out of 9:
Since 3 students like both toppings out of 9
Then we have
Answer:
And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "
With the p value obtained and using the significance level assumed for example we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.
D) Are statistically different.
Step-by-step explanation:
The system of hypothesis on this case are:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Where and
represent the percentages that we want to test on this case.
The statistic calculated is on this case was Z=4.21. Since we are conducting a two tailed test the p value can be founded on this way.
And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "
With the p value obtained and using the significance level assumed for example we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.
And the best option on this case would be:
D) Are statistically different.