Question

1. State your conclusion to the hypothesis test. A certain academic program claims that their students graduate in less than 4 years on average. A random sample of 50 students is taken and the mean and standard deviation are found. The test statistic is calculated to be -1.69. Using a 5% significance level, the conclusion would be: a) there is sufficient sample evidence for the program’s claim to be considered correct. b) there is insufficient sample evidence for the program’s claim to be considered correct. c) there is insufficient sample evidence for the program’s claim to be considered incorrect. d) there is sufficient sample evidence for the program’s claim to be considered incorrect.

Answer 1

solution

this is left tailed test

P(z < -1.69 ) = 0.0455

P-value = 0.0455

= 0.05  

P-value <

0.0455<0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that   

there is sufficient sample evidence for the program’s claim to be considered correct.