state To see what sorts of people are visiting this new attraction a survey was done at this year s state fair It was found that among a random sample of 73 couples at the fair with their children 47 had visited the new miniature golf course and among an independently chosen random sample of 76 couples at the fair on a date without children 35 had visited the miniature golf course Based on these samples can we conclude at the 0 05 level of significance that the proportion p of all couples attending the fair with their children who visited the miniature golf course is different from the proportion P of all couples attending the fair on a date who visited the miniature golf course Perform a two tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H H H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places d Find the p value Round to three or more decimal places e Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations OYes No H X 5 O S X P 8 olo 0 0 OSO 020 D 0 0 0 0 0