Question

4:54 Previous Problem Problem List Next Problem (1 point) A survey of 1330 people who took trips revealed that 127 of them included a visit to a theme park. Based on those survery results, a management consultant claims that less than 11 % of trips include a theme park visit. Test this claim using the α- significance level. The test statistic is 0.01 The critical value is The conclusion is A. There is not sufficient evidence to support the claim that less than 1 1 % of trips include a theme park visit. B. There is sufficient evidence to support the claim that less than 11 % of trips include a theme park visit. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor

Answer 1

$\widehat p$ = 0.0955

The test statistic z = ( $\widehat p$ - P)/sqrt(P * (1 - P)/n) = ​​​​​​(0.0955 - 0.11)/sqrt(0.11 * 0.89/1330) = -1.69

At alpha = 0.01, the critical value is z_0.01 = -2.33

Since the test statistic value is not less than the critical value (-1.69 > -2.33), so we should not reject the null hypothesis.

Option - A) There is not sufficient evidence to support the claim that less than 11% of trips include a theme park visit.