A pharmaceutical company has developed a drug to increase survival time for pati

Question

A pharmaceutical company has developed a drug to increase survival time for patients with a certain type of breast cancer. Currently the mean survival time for patients with this cancer is one (1) year. The company administers the drug to 100 women. After several years, the mean survival time for this sample is determined to be x -T.3 years with a sample standard deviation of s = 1.2. The company conducts a test at level a - 0.05 of the hypotheses H_0: mu lessthanorequalto 1 versus H_0: mu> 1. Your conclusion for this test should be to: a. accept H_0. b. fail to reject H_0. c. reject H_0. d. fail to accept H_0. e. none of the above Suppose the p-value for the test statistic computed in problem 15 were p = 0.0082. (This is not necessarily the correct value, but use this value so an error in problem 15 does not cause you to miss this problem.) Then: a. you would reject H_0 at the 0.10 level, but not at the 0.05 level. b. you would reject H_0 at the 0.05 level, but not at the 0.025 level. c. you would reject 110 at the 0.025 level, but not at the 0.01 level, you would reject 110 at the 0.01 level, but not at the 0.005 level. c. none of the above. If a null hypothesis has been rejected at the 0.01 level of significance, then: a. the hypothesis will also be rejected at 0.05 level. b. the hypothesis will also be rejected at 0.10 level. c. both a and b arc true. d. we do not have enough information to perform a test at any other level of significance. e. none of the above.

Explanation / Answer

15) here std error of mean =std deviation/(n)1/2 =0.12

hence test stat t=(X-mean)/std error =(1.3-1)/0.12=2.5

for 0.05 level of signifiance critical value=1.645

as test stat is higher then critical value

hence option C , reject Ho

16)as 0.0082 falls between 0.01 and 0.005

hence option C

17)as if it is reject at 0.01 level means p value is less then 0.01 whcih signify that it is less then 0.0 5and 0.1 level

hence option C is correct

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