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rtestingstatisticsnormal-distribution

One-Sided Hypothesis Test with T-Statistic in R?

I want to test the following hypothesis in R using a t-statistic and compute the p-value:

Null Hypothesis : mu <= 50

Alternate : mu > 50

data = c(52.7, 53.9, 41.7, 71.5, 47.6, 55.1,
       62.2, 56.5, 33.4, 61.8, 54.3, 50.0, 
       45.3, 63.4, 53.9, 65.5, 66.6, 70.0,
       52.4, 38.6, 46.1, 44.4, 60.7, 56.4);

It should be very easy, but I'm not sure how to do it. Thank you for your help!

Solution

  • If your H0 equals: mu<=50 the right command is:

    t.test(data, mu=50, alternative = 'greater')

    With alternative you define H1. Consequently it is: H1: mu > 50. The output shows the p.value, mean and t-value. That's it.