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4. State the null hypothesis (H0) and the alternative hypothesis (HA) for the following situations. a. An experiment testing whether echinacea (ye) decreases the length of colds. Let the population mean duration of colds with echinacea = pe and that under placebo = ,up. D. A correlational study on the relationship between brain size and intelligence. Let p be the population correlation coefficient between brain size and intelligence. 5. A researcher wishes to test the claim that the average cost of tuition and fees at a four-year public college (in- state) is greater than $5,700 per semester. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at (I = 0.05