hypothesis testing and CI

A hypothesis test for a population mean is to be performed at the 5% level of significance. The population standard deviation is known. The hypotheses are
H0: ƒÊ = 80
Ha: ƒÊ �‚ 80.
A 95% confidence interval for ƒÊ is also constructed. True or false, if 80 lies within the 95% confidence interval, then the null hypothesis will be rejected?

-==-
the answer is false
I think the null hypothesis should not be rejected..

Can I ask for further, simple explanation of this question, ASAP?? Thanks alot

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  1. ƒÊ = mu

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