Question

# please help desperately need it 7) When subjects were treated with a drug, their systolic blood...

7) 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? 159 189 164 179 157 175 183 195 158 169 209 205 163 155 148 147 152 162 144 176 159 186 163 143 In this example, Ha 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 Before After minus the reading after the drug was taken. a) What are the null and alternative hypotheses for the hypothesis test? b) What is the t statistic? c) What is the p-value? d) Which is greater p-value or significance level? e) What is the conclusion (ejectfail to reject) in regarding to the null hypothesis? f) Complete the following based on the analysis above There is blood pressure (The fil-in should be either sufficient or insufficient). evidence to support the claim that the drug is effective in lowering systolic

The following table is obtained:

 Sample 1 Sample 2 Difference = Sample 1 - Sample 2 159 163 -4 189 155 34 164 148 16 179 147 32 157 152 5 175 162 13 183 144 39 195 176 19 158 159 -1 169 186 -17 209 163 46 205 143 62 Average 178.5 158.167 20.333 St. Dev. 18.118 13.009 22.995 n 12 12 12

given :

Mean ($\large \bar d$) = 20.333

Standard deviation ( $\large S_d$ ) = 22.995

Sample size (n) = 12

a)

$\large H_0 : \mu_d = 0$

$\large H_a: \mu_d \neq 0$

b)

t - test statistic :

t = $\inline \large \frac { \bar d } { S_d /\sqrt n }$ = $\inline \large \frac { 20.333} { 22.995 /\sqrt 12 }$

t = 3.063

c)

p-value = 0.0108

d)

p-value is less than level of significance (alpha = 0.05)

i.e. level of significance greater than p-value.

e)

Conclusion :- Reject the null hypothesis (H0).

F)

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

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Question 10 3 pts Captopril is a drug designed to lower systolic blood pressure. When subjects...

Question 10 3 pts Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table. Using a 0.01 significance level, is there sufficient evidence to support the claim that captopril is effective in lowering systolic blood pressure? I J Subject Before After А 200 191 B 174 170 с 198...

• ### A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...

A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d = (blood pressure before taking new drug)-(blood pressure after taking new drug). Use a significance level of a = 0.05 for the test. Assume that the systolic blood...

• ### The data below were collected to test the effectiveness of a drug to lower systolic blood...

The data below were collected to test the effectiveness of a drug to lower systolic blood pressure. Blood pressure (in mm of mercury) was measured before and after treatment for 12 patients: the results are shown. The company claims the drug is effective. Explore this claim through completing the given questions. Assume the population differences is approximately normal and that all conditions for testing are satisfied. 1 Subject Before A 200 B 174 c 198 D 170 E 179 F...

• ### A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...

A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.1 for the test. Assume that the systolic blood pressure levels are normally...

• ### A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...

A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? 0.05 for the test. Assume that the systolic Let d = (blood pressure before taking new drug-blood pressure after taking new drug. Use a significance level of ? blood pressure...

• ### A pharmaceutical company.claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in...

A pharmaceutical company.claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d (blood pressure before taking new drug)-(blood pressure after taking new drug). Use a significance level of a 0.05 for the test. Assume that the systolic blood pressure levels are...

• ### A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...

A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)?(blood pressure after taking new drug) . Use a significance level of ?=0.05 for the test. Assume that the systolic blood pressure levels are...

• ### 21.HE.B: Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the...

21.HE.B: Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. The results are in the accompanying table on the next page. (a)      Go through “The Drill” for paired t-tests (Use a 0.05 α-level and the corresponding confidence interval.)           The Drill: Assumptions and Conditions Paired Data Condition The data must be paired. Only use pairing if...

• ### Suppose 203 subjects are treated with a drug that is used to treat pain and 55...

Suppose 203 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.20 H:p<0.20 OB. Ho:p>0.20 H: p= 0.20 © C. Ho: p = 0.20 H:p*0.20 OD. Ho: p=0.20 H:p>0.20 Identify the test statistic for this hypothesis test....

• ### Suppose 241 subjects are treated with a drug that is used to treat pain and 55...

Suppose 241 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.01 significance level to test the claim that more than 20% of users develop nausea. Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is . (Round to three decimal places...