Question

A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 69 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them. Conduct a hypothesis test at the 5% level of significance. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)

Answer 1

we are denoting local seniors as group 1 and national seniors as group 2

given data and necessary calculation:-

hypothesis:-

test statistic be:-

p value :-

[ from standard normal table]

decision:-

p value = 0.0918 > 0.05 (alpha)

so, we fail to reject the null hypothesis.

conclusion:-

there is not sufficient evidence to support the claim that there is an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent at 0.05 level of significance.

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