Perform the following hypothesis test using the P-value method. Be sure to state
ID: 3151307 • Letter: P
Question
Perform the following hypothesis test using the P-value method. Be sure to state the null and alternative hypotheses, calculate the test statistic, find the P-value, compare the P-value to the level of significance, and state the conclusion. Use English if you cannot write the mathematical symbols. Suppose a high school principal claims that the mean SAT score in math at his school is higher than 550. A random sample of 72 students has a mean score of 574. Assume that the population standard deviation is 100. Is the principal's claim valid at the .10 level?
Explanation / Answer
Ho : miu = 550
H1 Miu > 550
Z = ( 574 - 550 ) / ( 100 / srqt(72) )
Z = 2.04
p value : 0.0207
since p value is lower than alpha ( 0.10) we reject Ho
that means that the princpical claim is valid at 0.10 level