These are 3 probblems

1/ P-value = ?

(1 point) Albert thinks that he has a special relationship with the number 3. In particular, Albert thinks that he would roll a 3 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Albert will roll a 3. (a) State the null and alternative hypotheses for testing Albert'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 = 1/3) Ho = P =1/6 Ha p > 1/6 (b) Now suppose Albert makes n = 50 rolls, and a 3 comes up 11 times out of the 50 rolls. Determine the P- value of the test: P-value = 0.9412207644 (c) Answer the question: Does this sample provide evidence at the 5 percent level that Albert rolls a 3 more often than you'd expect? (Type: Yes or No) no(1 point) A random sample of 10 observations was drawn from a large normally distributed population. The data is below. 19 16 20 13 22 13 13 22 19 16 Test to determine if we can infer at the 8% significance level that the population mean is not equal to 17, filling in the requested information below. A. The value of the standardized test statistic: 0.264 Note: For the next part, your answer should use interval notation. An answer of the form (-co, a) is expressed (-infty, a), an answer of the form (b, oo) is expressed (b, infty), and an answer of the form (-oo, a) U (b, oo) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: (-infty,-1.7507)U(1.7507, infty) C. The p-value is D. Your decision for the hypothesis test