FALL 2022 lCIL Name 2. [1? points} A pollster is studying people's interest in science news. There are data showing that 2?% cf the U.S. public is very interested in science news. 49% is somewhat interested in science news. and 24% is not too or not at all interested in science news. The pollster wants to know if college graduates feel differently than does the general population (US. public} and surveys m college graduates on their views on science news. She nds that 420 of the graduates report being very.r interested in science news. 612 report being somewhat interested in science news. and 168 report little or no interest in science news. Remember. the pollster is interested in knowing if the distribution of responses is the same for college graduates as for the general population. a. State the null hypothesis in words. b. State the alternative hypothesis in words. c. For the statistical analysis, the degrees of freedom is ________ and the critical value of X2 (o = .05) are _________ . d. Calculate the EXPECTED frequencies for each category and write them in the boxes below. SHOW YOUR WORK! {I have put the OBSERVED frequencies in the table already. You're welcome). Very Somewhat Not too .' not interested in interested in at all science news science news interested in science news Observed 420 512 e. Now calculate the chi-square value {there is more room on next page). f. Would you reject the null hypothesis? YES NO g. Based on this, is the distribution of responses the same for the college graduates as for the general population? YES NO h. Complete this statement: 2:2 t____. n = _______i =________. p _____ .05. i. Now, disregard the general population data and focus on the data from the college graduates. You want to know if any response [very interestedI somewhat interested. or not too! not at all interested) was more common {preferred} than the others. State the null hypothesis in words. i. If you analyzed the data to determine if one response were more common than the other among the college graduates, what expected frequencies would you use to calculate 9:2? You do NOT need to actually calculate the I2 value. Very Somewhat Not too t not interested to interested to at all science news science news interested in science news Observed 1 63 420 612