Please see below. I really need help on this problem. Note that I only need help with part b as I have gotten two separate answers for this and am not certain which is the correct answer. One of the...

Please see below. I really need help on this problem. Note that I only need help with part b as I have gotten two separate answers for this and am not certain which is the correct answer. One of the answers I got is shown in the picture and the other one is: 0.3123. Really need help with this. Note: THE P-VALUE ANSWER MUST BE GIVEN TO FOUR DECIMAL PLACES. THIS IS ALL I WAS GIVEN!!

", "=", "not =" and express any values as a fraction e.g. p 3D 1/3) Ho = p=1/6 %3D Ha p>1/6 %3D (b) Now suppose Armando makes n = finding the P-value. 30 rolls, and a 1 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when P-value = 0.31136 %3D (c) Answer the question: Does this sample provide evidence at the 5 percent level that Armando rolls a 1 more often than you'd expect? (Type: Yes or No) No "/>
Extracted text: Armando thinks that he has a special relationship with the number 1. In particular, Armando thinks that he would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Armando will roll a 1. (a) State the null and alternative hypotheses for testing Armando's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", "="">", "=", "not =" and express any values as a fraction e.g. p 3D 1/3) Ho = p=1/6 %3D Ha p>1/6 %3D (b) Now suppose Armando makes n = finding the P-value. 30 rolls, and a 1 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when P-value = 0.31136 %3D (c) Answer the question: Does this sample provide evidence at the 5 percent level that Armando rolls a 1 more often than you'd expect? (Type: Yes or No) No