A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative​ hypotheses? A. ​: ​: B. ​: ​: C. ​: ​: D. ​: ​: Part 2 The test​ statistic, t, is enter your response here. ​(Round to two decimal places as​ needed.) Part 3 The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 ​(Round to three decimal places as​ needed.)

Respuesta :

There's sufficient evidence to reject the null hypothesis between the treatment group and placebo group.

How to illustrate the hypothesis?

From the complete information, the value of the test statistic is -1.76 and the p-value is 0.085.

In this case, there's sufficient evidence to reject the null hypothesis. Therefore, there's evidence to warrant the rejection of the claim that the two samples are from population with same mean.

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