Before discarding, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. If she discards the gold. Are, what
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Using it's concept, it is found that the vertical asymptotes of the function are given by:
- x = -1.
- x = 4.
- The <em>vertical asymptotes </em>of a function f(x) are the <u>values of x which are outside the domain of the function</u>.
- In a fraction, it is the <u>roots of the denominator</u>.
In this problem, the function is:
The denominator is , which is a quadratic function with coefficients
, hence, it's roots are found as follows.
Hence, the asymptotes are x = 4 and x = -1.
You can learn more about vertical asymptotes at brainly.com/question/11598999
Answer:
a) The observational units for this study are coins
b) The test is a two-tailed test.
c) Since the p-value is < α, we can therefore conclude that long-run proportion of heads significantly differ from 0.50
d) The findings are known as statistically important, due to the very large sample size. But the difference between the 0.50 ratio hypothesized and the 0.51 ratio observed isn't very large. Consequently , the findings are not relevant
Step-by-step explanation:
a) The observational units for this study are coins
b) Number of heads = x = 14709
Number of flips = n = 29015
Sample proportion = = x ÷ n = 14709 ÷ 29015=0.51
H : p =0.50
H p
0.50
z =
z = 2.366
Using the normal distribution table, area under the normal curve to the right of z;
z = 2.366 = 0.009
The test is a two-tailed test.
Hence, p-value = = 0.018
c) α = 0.05
p-value < α = 0.05, we reject the null hypothesis.
We can therefore conclude that long-run proportion of heads significantly differ from 0.50
d) The findings are known as statistically important, due to the very large sample size. But the difference between the 0.50 ratio hypothesized and the 0.51 ratio observed isn't very large. Consequently , the findings are not relevant