Use the following information for questions 21 to 23. In the past, it is general

Question

Use the following information for questions 21 to 23. In the past, it is generally agreed that a certain standard treatment yields a mean survival period of 3.5 years for a certain cancer patients Recently, a new treatment is administered to 49 patients and their duration of survival is recorded. The sample mean and standard deviation of the duration is 3.8 years and 0.7 years, respectively Set up the null and alternative hypotheses to test whether the new treatment increases the mean survival period 21. (a) Ho : = 3 8 versus Ha : > 3.8 (b) H0 : = 3.8 versus Ha : 3.5 (d) Ho : = 3.5 versus Ha : 3.8 22. Find the value of the standardized test statistics for the above test. (a) -0.06 (b) 3.00 (c) 0.06 (d) 3.00 (e) 1.94 23. Find the P-value for the test and state your conclusion at the significance level of 0.05 (a) P-value: 0.9987; Decision: Fail to reject Ho (b) P-value: 0.0013, Decision: Fail to reject Ho- (e) P-value: 0.0013, Decision: Reject Ho (d) P-value: 0.0026; Decision: Reject Ho (e) P-value: 0.9987; Decision: Reject Ho The following is used for questions 24 and 25 In a random sample of 200 adults, 54 say they are in favor of outlawing cigarettes. Let p be the proportion of all adults who are in favor of outlawing cigarettes. One is interested for the following hypotheses: H. : p-0.23 versus H. p0.23. 24. The standardized test statistics is about (a) -1.34 (b) -1.27 (c) 1.27 (d) 0.27 (e) 1.34 25. The P-value of this test is (a) 0.0901 (b) 0.1802 (c) 0.9099 (d) 0.8980 (e) 1.8198

Explanation / Answer

As per the Chegg policy, we are advised to do only one question at a time so i am attempting questions 21 - 23.

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 3.5
HA : > 3.5

Hypothesis test results:

Hence,

21. Option C is correct.

22. Option B is correct.

23. Option C is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value 3.8 0.1 48 3 0.0013

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