Could you please explain to me how I can get the value of p-value from table? An
ID: 3067275 • Letter: C
Question
Could you please explain to me how I can get the value of p-value from table? And which the table? Why we rejected ? It is not clear to me . Please explain step by step. Thanks! ame to their archrival, the alumni After a college football team once again lost a g association conducted a survey to see if al simple ran Sixty-four of the alumni in the sample were in favor of firing the coach. I the proportion of all living alumni who favored firing the coach. Suppose the alumni association wished to see if the majority of alumni are in favor of firing the coach. To do this they test the hypotheses H : p 0.50 versus H : p > 0.50. The alumni association wished to conduct the test at a 5% significance level. What would their decision be? Based on that decision, what type of mistake could they have made? 4. umni were in favor of firing the coach. A dom sample of 100 alumni from the population of all living alumni was taken. Let p represent ) Do not reject Ho; Type Il erro amPle Pro Por tionr o.u SamPle 31 © Reject H0; Type 1 error est statistic 1 D) Reject ??; Type II error (o.64-0.5 ) / s, (o5-0.5 / (0-2 . Do not reject His Type 1 error > S° ue reject H ., when w
Explanation / Answer
p value= 2*P(Z>|Z0|)
Z0= the observed value of the test statistic =2.91
Z follows N(0,1)
We need to find 2*(1- P(Z<2.91) )= 2*(1- .9982) = 0.0036 which is less than alpha= 0.05
Table: Normal table, we see the table that gives the area under a certain value, here it is 2.91
Therefore we reject the null hypothesis by definition of p value.