3) Normally, the ratio of females to males in frog populations is 1:1. A researcher hypothesizes that frogs in a pond contaminated by a hormone-mimicking pesticide will have a sex ratio skewed towards females. She randomly captures (and then releases) 10 frogs and finds that 6 are female. Conduct a formal test of the scientific hypothesis.

State: a) The null and alternate (statistical) hypotheses.

b) Whether the alternate hypothesis is 1 or 2-tailed.

c) The P value, showing all calculations.

d) Your conclusion with respect to the null hypothesis.

e) Your conclusion with respect to the scientific hypothesis.

f) The researcher believes she may have gotten an "unlucky" sample and decides to increase her sample size. She goes out to the same pond and randomly captures (and then releases) 20 frogs and finds that 18 are female.

i) What does an increased the sample size accomplish, statistically speaking?

ii) The researcher combines her original sample of 10 frogs with her second sample of 20 frogs and analyzes the data together as having sampled 30 frogs, 24 of which are female. What error has she made