Question

When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.05 significance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure?

Before   After
179   147
167   177
158   159
172   148
188   179
196   145
210   179
175   162
157   152
205   143
169   157
164   148

n this example,?

?d?

is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the systolic blood pressure reading before the drug was taken minus the reading after the drug was taken. What are the null and alternative hypotheses for the hypothesis test?

A. H0: ?d=0       H1: ?d>0

B. H0: ?d?0       H1:?d=0

C. H0: ?d?0      H1:?d>0

D. H0: ?d=0      H1:?d<0

Identify the test statistic.

t= _______

(Round to two decimal places as needed.)

Identify the P-value.

P-value= _______

(Round to three decimal places as needed.)

Since the P-value is      Less///or////Greater_____??than the significance level, Fail to Reject////or///Reject Ho.

There is?Insufficient//or//sufficient____?evidence to support the claim that the drug is effective in lowering systolic blood pressure.

?

H0.?

There is evidence to support the claim that the drug is effective in lowering systolic blood pressure.

  
  
  
  
  
  
  
  
  
  

Answer 1

A. H0: ?d=0       H1: ?d>0

t=3.36

p value =0.000

Since the P-value is less than the significance level, Reject Ho.

There is sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure.