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= 1/3) Ho = p=1/6 H. = p>1/6 (b) Now suppose Armando makes n = 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 finding the P-value. P-value = 0.31136 (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

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

According to Reader's Digest,  44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)=  (to 2 decimals)    (to 4 decimals) b. What is the probability that the sample proportion will be within  ±0.03 of the population proportion? Round your answer to four decimals.   c. What is the probability that the sample proportion will be within ±0.05  of the population proportion? Round your answer to four decimals.   d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,

A population proportion is 0.3. A sample of size 200 will be taken and the sample proportion  will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. a.  What is the probability that the sample proportion will be within ±0.03 of the population proportion? b.  What is the probability that the sample proportion will be within ±0.05 of the population proportion?

A researcher uses analysis of variance to test for mean differences among three treatments with a sample of n=12 in each statement.The F-ratio for this analysis would have which df values?   df=2,11 df=2,33 df=2,35 df=2,36