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Reality TVTelevision networks rely heavily on ratings of TV shows when deciding

whether to renew a show for another season. Suppose a network has decided that

鈥淢iniature Golf with the Stars鈥 will only be renewed if it can be established that more than 12%of U.S. adults watch the show. A polling company asks a random sample of 2000U.S. adults if they watch 鈥淢iniature Golf with the Stars.鈥 The network uses the data to perform a test of

H0:p=0.12

Ha:p>0.12

where pis the true proportion of all U.S. adults who watch the show. Describe a Type Ierror and a TypeIIerror in this setting, and give a possible consequence of each.

Short Answer

Expert verified

Type Ierror rejects null hypothesis H0, once H0is true.

Type IIerror fails to reject null hypothesis H0, once H0is false.

Step by step solution

01

Given Information

It is given that n=2000

H0:p=0.12

H1:>0.12

02

Explanation

Once null hypothesis H0is true, type I error is rejecting it.

Convincing evidence is present that US adults watching show is >0.12if true proportion of US adults who watch show is actually 0.12

Another consequence is that renewing the show, not sufficient people watch the show will led to loss by television network.

Once H0is false, type II error fails to reject H0.

No convincing evidence is present that true proportion of US adults watching show is >0.12, if true proportion of US adults who watch show is actually over 0.12.

Another consequence is that not renewing the show, sufficient people watch the show will led to missing a chance to make profit by television network.

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