A television network will cancel one of its shows if it is convinced that less than 14 of the households watch the show A random sample of 1500 households with televisions is selected Exactly 187 of the households sample watch this show Using these data and an alpha level of 05, and producing accurate calculations What is the null hypothesis (in words) What is the alternative hypothesis (in words) What statistical test are you using to test this hypothesis (Be specific generic references will not receive credit) Does this problem call for a directional test or a non directional test Why What is the value of the standard error for the hypothesis What is your best estimate of the proportion of households that watch the show in the population What is the value of z stat What is the value of z crit for the hypothesis Can you be 95 confident that less than 14 of the households watch this show (Yes or No) Justify your answer What are the lower and upper bounds of a 95 confidence interval for the proportion of families in the population who watch this show (accurate to four places to the right of the decimal point)

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Sep 27, 2024

A television network will cancel one of its shows if it is convinced that less than 14% of the households watch the show.A random sample

A television network will cancel one of its shows if it is convinced that less than 14% of the households watch the show.A random sample of 1500 households with televisions is selected. Exactly 187 of the households sample watch this show.Using these data and an alpha level of .05, and producing accurate calculations:

What is the null hypothesis (in words)?
What is the alternative hypothesis (in words)?
What statistical test are you using to test this hypothesis? (Be specific: generic references will not receive credit)
Does this problem call for adirectionaltest or anon-directionaltest?Why?
What is the value of the standard error for the hypothesis?
What is your best estimate of the proportion of households that watch the show in the population?
What is the value of z_stat?
What is the value of z_critfor the hypothesis?
Can you be 95% confident that less than 14% of the households watch this show?(Yes or No).Justify your answer.
What are the lower and upper bounds of a 95% confidence interval for the proportion of families in the population who watch this show (accurate to four places to the right of the decimal point)?