This question demonstrates the relationship between hypothesis testing and confidence intervals.

95% confidence interval from #6:(19.1 , 21.6 )

Choose 4 values for ₀ to use in this exercise, as follows. Choose 2 values from within the above confidence interval, 1 value slightly outside the interval to the left, and 1 value slightly outside the interval to the right.Fill these in the table below.

Use your data and the calculator (2:T-Test,) to testfor these 4 values of ₀.

Test at the = .05 level.For each value chosen, in the table below, give the P-value of the test and say whether your conclusion would be "Reject H₀" or "Fail to Reject H₀"_. (NOTE:This should go quickly.All you have to do is change the in 2:T-Test, and then re-calculate the P-value.)

Table:

Description of value | ₀ | P-value of test | Conclusion:Reject H₀ or Fail to Reject H₀

A value within interval |

A value within interval |

A value just outside the |

lower limit of interval

A value just outside

the upper limit of interval |

In your own words, what have you demonstrated about the relationship between a (1-) confidence interval and a two-tailed hypothesis test run at the -level?(This should be a generalized conclusion.)