6. A sampling distribution is shown for the proportion of people who die from colon cancer after having polyps removed in a colonoscopy with random samples of size 2600 and 1000 samples were drawn (There are 1000 dots in the distribution). 7. A hypotheses test, some information from one sample, and a standard error from a randomization distribution are provided. Test Ha: p : 0.75 and H" : p > 0.75 when the sample has n = 40, i7 : 0.85, and SE = 0097. at Find the standardized z-test statistic Round to three decimal places (3 points) b. Find the p-value for this sample statistic. Round to three declmal places. (Use your ll calculator to find this. Write down the calculator commands.) (3 points) a. Describe the sampling distribution using statistical la nguage. (Hint: The shape) (1 point) 8. From a sample we determined that the mean is I = 12.4 and our 98% confidence interval had a margin of error of 2.7, Construct the 98% confidence intervals (3 points) b. Use the distribution to estimate the proportion of ALL people who die from colon cancer after having polyps removed in a colonoscopy. Give correct notation for your answer. [2 points) c. If we take a random sample of 2600 people who've had polyps removed in a colonoscopy and compute the proportion of the sample who died from colon cancer, indicate how likely it is that we will see that result for each sample below, (Very likely, fairly unlikely, very unlikely.) (3 points) [7:0012 [2:00009 i):0.016 d. If we take a random sample of 2600 people who've had polyps removed in a colonoscopy and compute the proportion oi the sample who died from colon cancer and we get a sample proportion of 0016. Use the distribution above to compute the p-value for this result (remember, there are 1000 dots in the distribution.) [2 points)