4 Award 1000 points program claims that it significantly low

Award: 10.00 points program claims that it significantly lowers a participant\'s cholesterol level. In order participants is taken. Their cholesterol levels are measured before and A new diet and exercise to test this claim, a sample of 60 after the three-month Foty of the participants recorded lower cholesterol levels at the end of the levels, and 4 participants recorded no change. program. Forty of t nt program, 16 participants recorded higher cholesterol l Use Table 1 a. Specify the competing hypotheses to test the program\'s claim. Ho: p 20.50: HA: P0.50 Otto: p s 0.50; Ha: p > 0.50 b. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and your answer to 2 decimal places.) Test statistic c. Calculate the p-value. (Round \"test statistic value\" to 2 decimal places. Round your answer to4 decimal places.) p-value d. At the 5% significance level, do the data support the program\'s claim? Yes, since we reject Ho Yes, since we do not reject H- ONo, since we reject Ho No, since we do not reject Ho- rev: 09 05 2013 QC 34262, 11_20 2013_Qc_ 34262 References

Solution

Sol)

a) Nullhypothesis: Ho: P=0.50

Alternative hypothesis: H1: P <0.50

level of significance: 5% level of significance

b) Test Statistic:

given n=60 and x=40

proportion of participates lower the cholestrol p=x/n =0.67

Z= (p-P) / Sqrt(PQ/n)

Z= 2.63

c) Pvalue= 0.004269  (using excel)

d) Conclusion: Z cal=2.63 and Z critical value at 5% level is -1.645 (left tail)

Hence we reject the Null hypothesis.