A cancer researcher believes that there may be an increase in the life expectancy of women diagnosed with terminal breast cancer if they attend group therapy to discuss their illness. They randomly select 19 women with breast cancer. Ten of the women are randomly assigned to a group that attends a group therapy session one day a week. The other nine women do not attend therapy and are designated as the control group. The life expectancy, in number of years, from diagnosis until death is measured for each of the women. the results of the study are provided below.
Women in Therapy: 4.8, 3.0, 3.1, 4.4, 2.8, 2.7, 3.4, 3.3, 4.1, 3.7
Women Not in Therapy: 2.5, 2.1, 2.5, 1.6, 1.3, 2.5, 2.2, 1.7, 2.6
Is there sufficient evidence to conclude that the average life expectancy from diagnosis until death is significantly longer for women diagnosed with terminal breast cancer who attend group therapy once per week compared to those who do not attend group therapy?
State the null and research (alternative) hypotheses in words and using symbols. Conduct the appropriate hypothesis test with
= .01 and state your conclusion in terms of this problem. Remember to use the 4 steps of hypothesis testing and include the SPSS output as evidence for calculations.
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