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tray71016
12.12.2019 •
Mathematics
An economist wondered if people who go to the movies on weekdays go more or less often on fridays than any other day. she figured that if it were truly random, 20% of these movie-goers would go on fridays. she randomly sampled 50 people who go to movies on weekdays and asked them on which day they attend movies most frequently. of those sampled, 14 indicated that they go on fridays more often than other days. the economist conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of weekday movie-goers who go most frequently on fridays is different from 20%. for this test: h0: p=0.2; ha: p≠0.2, which is a two-tailed test.
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Ответ:
a) 18
b) 20
c) 12
d) 12
Step-by-step explanation:
a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18
b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20
c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12
d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12