Question

disease present among the 243 sharks living in the large aquarium at the zoo. The zoologist takes a random sample of 15 sharks from the aquarium, temporarily removes the sharks from the tank, and tests them for the disease. He finds that 3 of the sharks have the disease #2 A zoologist at a large metropolitan zoo is concerned about a potential new Identify (in words and using an appropriate symbol) the parameter of interest a The zoologist wishes to test whether there is evidence that less than one-fourth (25%) of the sharks in the aquarium are diseased. State the null and altermative hypotheses for this test in symbols. b. c State the value of the statistic using an appropriate symbol. d. Suppose you use the One Proportion applet to generate 1000 simulated samples and find a p-value. The resulting null distribution is shown below. Fill in the blanks on the left that were used in the applet. Probability of success (m),厂-R Sample size (n) Number of samples: Summary Stats Mean 0250 -0027 Animate Draw S Total 1000 Number of successes Proportion of successes As estreme as Count027 0sD 0,32 e. The p-value from the applet is 0.025. Evaluate the strength of evidence and state a 0.15 0.17 020 022 02ร 027 020 032 035 037 ]Γ- Proportion of successes conclusion about diseased sharks.

Answer 1

a.

Here the parameter of interest is the proportion of sharks in the total population that have disease, P.

b.

as per the zoologist the null hypothesis and the alternative is given by,

$H_1: H_0 \textup{ is not true i.e.} :p>0.25$