*for the `babies` (**usingr**) data set, the variable `age` contains the recorded mom's age and `dage` contains the dad's age for several cases in the sample. do a significance test of the null hypothesis of equal ages against a one-sided alternative that the dads are older in the sampled population\.\*



Answer :

On solving the provided question we can say that - mean of x mean of y

27.37136 30.73706

what is alternative hypothesis?


In statistical inference studies, an alternative hypothesis is a statement. This is represented by Ha or H1, which conflicts with the null hypothesis. It only serves as a zero replacement. The claims that researchers are investigating in hypothesis testing are alternative theories.

[tex]t = -11.067, \\df = 2301.5, \\p-value < 2.2e-16[/tex]

alternative hypothesis: true difference in means is less than 0

95 percent confidence interval:

[tex]-Inf -2.865266[/tex]

sample estimates:

mean of x mean of y

27.37136 30.73706

Conclusion:-

Here   p-value = 2.2e-16 < 0.05(Level of significance)

Therefore we reject  at 5% Loss

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