According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in binge drinking behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.1.) The college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is lower than the national proportion of 0.41. Her staff tests the hypothesesHo: p = 0.41, Ha: p < 0.41. The P-value isA. between 0.05 and 0.10.B. between 0.025 and 0.05.C. between 0.01 and 0.025.D. below 0.01.

(D) The P-value is below 0.01.

Step-by-step explanation:

Test statistic (z) = (p' - p) ÷ sqrt[p(1-p) ÷ n]

p' is sample proportion = 162/462 = 0.35

p is population proportion = 0.41

n is sample size = 462

z = (0.35 - 0.41) ÷ sqrt[0.41(1-0.41) ÷ 462] = -0.06 ÷ 0.023 = -2.61

From the standard normal distribution table, the cumulative area of the test statistic is found by taking the value of 2.6 under 0.01. The value (cumulative area) is 0.9945.

The test is a one-tailed test because the alternate hypothesis is expressed using the inequality less than.

P-value = 1 - 0.9955 = 0.0045

The P-value 0.0045 is below 0.01

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.