The test statistic I have (0.045) is wrong. Please help. Consider the data set b

Question

The test statistic I have (0.045) is wrong. Please help.

Consider the data set below. For a hyopthesis test, where H_0: = beta_1 = 0 and H_1: beta_1 notequalto 0, and using alpha = 0.05, give the following: (a) The test statistic t = .45 (b) The degree of freedom df = 4 (c) The rejection region |t| > 2.776 The final conclustion is A. We can reject the null hypothesis that beta_1 = 0 and accept that beta_1 notequalto 0. B. There is not sufficient evidence to reject the null hypothesis that beta_1 = 0.

Explanation / Answer

Solution:-

Paired t test results

P value and statistical significance:
  The two-tailed P value equals 0.5471
  By conventional criteria, this difference is considered to be not statistically significant.

Confidence interval:
  The mean of Group One minus Group Two equals 1.00
  95% confidence interval of this difference: From -2.98 to 4.98

Intermediate values used in calculations:

t = 0.6455

  df = 5

Rejection region = 3.98

  standard error of difference = 1.549

The conclusion is that there is not sufficient evidence to reject the null hypothesis that beta1 = 0.

Group   Group One     Group Two   Mean 5.83 4.83 SD 2.64 2.79 SEM 1.08 1.14 N 6     6

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