Question

(a) A survey of 786 adults showed that 68% thought TV contributed to a decline in family values. If the sample was randomly selected, what can you say about the proportion of all adults who think TV contributes to a decline in family values? (Discuss whether the conditions for using a confidence interval are met, give the confidence interval itself, and give an interpretation of this interval, stating glearly what is in the confidence interval.) (10 points)

Answer 1

salubon - a conditions, 6 - 384 X 6. 6 4 - 634 > 0 n 1)-6) 786 x 11-0.68) - 252 >10 Hence, both the condition are met So, asy. contidence interval þ + zoly v bll-) = 0.68 F 1.96 10.68 x 0.32 534 - 0.640 cpe [0.720 we are gs%. confident that true proportion of all adub who think Tv decline im family values is between 0.640 and 0.720. Ho: p=0.50 Ha: ps0.50 z = b - p 0 .55-0.5 - 3.06 0. 5 o .5 934 p-value = P253.06) = 0.0011 since, P-value is significantly low. Reject to There is sufficient evidence that more than half of this mahions think our carbon footprink is only fair or poor.