Need help with these (c) A medical researcher is working on a new treatmentfor a certain type of cancer. The average survival timeafter diagnosis on the standard treatment is two years.In an early trial, she tries the new treatment on threesubjects who have an average survival time afterdiagnosis of four years. Although the survival time hasdoubled, the results are not statistically significant evenat the 0.10 significance level. The explanation isA. the sample size is small.B. the calculation was in error. The researchers forgotto include the sample size.C. that although the survival time has doubled, inreality the actual increase is really two years.D. the placebo effect is present, which limitsstatistical significance. (a) The Survey of Study Habits and Attitudes (SSHA) is apsychological test that measures the motivation,attitude, and study habits of college students. Scoresrange from 0 to 200 and follow (approximately) a normaldistribution with mean 115 and standard deviationσo = 25. You suspect that incoming freshman have amean which is different from 115 because they areoften excited yet anxious about entering college. To testyour suspicion, you test the hypotheses Ho: μ = 115,Ha 115. You give the SSHA to 25 students whoare incoming freshman and find their mean score. Basedon this, you reject Ho at significance level a = 0.01.Which of the following would be most helpful inassessing the practical significance of your results?A. Report the P-value of your test.B. Test the hypotheses again, this time usingsignificance level a = 0.001.C. Construct a 99% confidence interval for u in orderto see the magnitude of the difference between 115and your sample results.D. Take another sample and retest just to make surethe results are not due to chance.(b) In testing hypotheses, if the consequences ofrejecting the null hypothesis are very serious, we shouldOA. insist that the level of significance be smaller thanthe P-value.B. insist that the P-value be smaller than the level ofsignificance.C. use a very small level of significance.D. use a very large level of significance.

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Hypothesis test are used to compare the sample and population. Hypothesis test are of two types,…