According to the national institute on drug abuse, a u. s. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. a school official hopes to show the percentage is lower in his district, testing h0: p = 0.173 versus ha: p < 0.173. the health department for the district uses anonymous random sampling and finds that 10% of 80 eighth graders surveyed had used marijuana. is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
a. no, because () is less than 10. because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions.
b. yes, because the sample is random. it represents the 8th graders in the district.
c. yes, because () and (80)(1 ‑ 0.173) are both at least 10. this means we can use the normal distribution to model the distribution of sample proportions.
d. no, because 80 students is not enough to be representative of the students in the school district.

Carlos spent 1 1/4 hours doing his math homework he spent 1/4 of his time practicing his multiplication facts how many hours to carlos been practicing his multiplication facts

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)

There are a total of 75 students in the robotics club and the science club. the science club has 11 more students than the robotics club. how many students are in the science club?