Question

3. An organization is considering setting up a wldlife park in Dunedin, and decides to carry out If it costs a survey to assess the likely level of public support. One of the questions wil be $15.00 for a family to visit the park, would you come at least once a year? (a) This question wil only be addressed to the father or mother in families with at least one child How any famies need to be randomly sampled n order to have a margin of error of 5% or less with confidence level of 90%? Sample sze (b) Suppose that 8s a result of the survey 180 fathers(x,-180) out of 300 fathers (n,-300) say yes to the queston and 350 mothers (,-350) out of 500 mothers (n,-500) 8ay yes to the question Does this show that the mothers support the idea of the wildlife park more than the fathers? Use -0.10. Show your work. i. State the nul and atemative hypothesis. H, H, il Calculate the value of the test statisic Show your workings Value of Test Statistic ii. Sketch the rejection region. Mark in the critical value(s). v. Decision is: Circle One)ReietH/Do Not Rejec (c) Find a 90% confidence interval for the proportion of mothers supporting the wildlife park and interpret it 90% Confidence Interval (d) If the number of mothers sampled is 400 instead of 500, what effect would it have in the width of the interval found in part (c)? Explain (do not do any calculations). The interval would be: (Cirde One) Wider Narrower Same / Can Explain Sey

I could use a lot of help answering question 3 (all parts of question) and explain the steps used to solve the questions please !

Answer 1