Let K be the number of heads in 200 flips of a coin. The null hypothesis H is that the coin is fair. Devise significance tests with the folowng properties.Note: Your answers below must be integersa) The signficance level is&nbsp;α&nbsp;=0.08 and the rejection set R has the form&nbsp;{|K−E[K]|&gt;c}.Use the Central Limit theorem to find the accsptane ce set A.A={…,…,…}b) Now tho significance level is&nbsp;α&nbsp;= 0.016 and the rejection set R has the form&nbsp;{K&gt;c1}Again, use tho Central Limit Theorem to find tho accaptance set A.A={…,…,…}&nbsp;

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Let K be the number of heads in 200 flips of a coin. The null hypothesis H is that the coin is fair. Devise significance tests with the folowng properties.Note: Your answers below must be integersa) The signficance level is&amp;nbsp;α&amp;nbsp;=0.08 and the rejection set R has the form&amp;nbsp;{|K−E[K]|&amp;gt;c}.Use the Central Limit theorem to find the accsptane ce set A.A={…,…,…}b) Now tho significance level is&amp;nbsp;α&amp;nbsp;= 0.016 and the rejection set R has the form&amp;nbsp;{K&amp;gt;c1}Again, use tho Central Limit Theorem to find tho accaptance set A.A={…,…,…}&amp;nbsp;

Rachettolyf8 · Accepted Answer

GivenP=0.5n=200calculation:From the given dataP=12=0.5n=200a) level of significance&amp;nbsp;(∝)=0.08Zα2=Z0.082=Z0.04=1.751&amp;nbsp;(from Z table)Thus,p^±α2p^(1−p^)n=0.5±1.751×0.5×0.5200=0.5±0.06191=0.43809,&amp;nbsp;0.56191Accepntance set&amp;nbsp;A=(0.43809×200,0.56191×200)=87.68,&amp;nbsp;112.382=(87.62,&amp;nbsp;112.38)=(88,&amp;nbsp;113)b)&amp;nbsp;∝=0.16Zα2=Z0.0162=Z0.008=2.409p^±α2p^(1−p^)n=0.5±2.409×0.5×0.5200=0.5±0.5852=(0.4148,&amp;nbsp;0.5852)Accepntance set&amp;nbsp;A=(0.4148×200,0.5852×200)=(82.96,&amp;nbsp;117.04)=(83,&amp;nbsp;118)

Let K be the number of heads in

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