Question

An educated researcher claims that 57% of college students working year-round in a random sample 500 college students 285 say that they work year-round. At a= 0.01 is there enough evidence to reject the researchers claim? what is critical value? what is the standard test statistic z? what is the p value?

Answer 1

Sample size , n= 500

Sample proportion of students who work , = 285/500 = 0.57

Null Hypothesis, H0 : p= 0.57

Alternate Hypothesis, Ha : p 0.57

Test Statistiz , z = = = 0

P- Value = 2 * P( Z < 0) = 2 * 0.5 = 1

Since the P- Value ( 1 ) is greter than the significance level 0.01. Hence we do not reject the null hypothesis.

Hence we do not have enough evidence to reject the researchers claim . Instead we have enough evidence to support the researcher claim.