An airline company would like to know if the average number of passengers on a f

Question

An airline company would like to know if the average number of passengers on a flight in November is less than the average number of passengers on a flight in December. The results of random sampling are printed below. Test the appropriate hypotheses using ? = 0.01. A random sample of 200 passengers is taken in both months.
The null and alternate hypothesis used:
H0: mu1-mu2=0 vs. Ha: mu1-mu2<0
The test statistic is:
-4.62

What is the correct conclusion?

Accept the null hypothesis

Reject the null hypothesis

There is not enough information given

Fail to reject the null hypothesis

Accept the null hypothesis

Reject the null hypothesis

There is not enough information given

Fail to reject the null hypothesis

Explanation / Answer

t= -4.62

alpha=0.01

degrees of freedom=n1+n2-2=200+200-2=398

for this left tailed t test ,p value=0.00000260

here p value=0.00000260<alpha=0.01

therefore we will reject H0.

Therefore answer is b)Reject the null hypothesis.

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