Statistics problem

Question

Could someone answer this I’m lost

Assume the significance level is a = 0.1 use the given information to find the P – value and the critical value(s). The test statistic of z = 1.62 is obtained when testing the claim that p > 0.5

Answer 1

Well, it is a somewhat bizarre way to assign a stat problem. I will not solve it for you for in that case you get nothing out of it.  But, if you are testing:

 

H₀: p ≤ 0.5  vs. H₁: p > 0. 5

 

Then you reject H₀ if a certain statistic is greater than a specific critical value.  In this case, you are told that the statistic z = 1.62, so to compute the p-value you need to use tables, Excel, calculators, to compute 

 

Probability[z> 1.62] = k, say.

 

If k < α =0.10, then you reject the null hypothesis and conclude that p is greater than 0.5. 

 

If you want to do this using critical value, find the value z  in the normal table such that

 

Probability[Z > z] = 0.10.

 

If this value is less than 1.62 then you reject the null or you fail to reject it otherwise.