You are going to the amusement park with some friends! There are 3 different rides you all want to get to before the park closes
: the kiddy coaster (K).
the swings (S), and the merry-go-round (M). Interesting choices for a group of teenagers, but I promise I'm not judging... too harshly.
You plan on choosing the order of the rides at random. What is the sample space, S. of the possible orders?
the swings (S), and the merry-go-round (M). Interesting choices for a group of teenagers, but I promise I'm not judging... too harshly.
You plan on choosing the order of the rides at random. What is the sample space, S. of the possible orders?
1 answer:
You might be interested in
Answer:
Proven
Step-by-step explanation:
We prove the polynomial with factorization. We must first simplify the expression before we can factorize:
4 is the common number and we can take it out of the expression:
We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is:
And the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that
Value of the z-statistic:
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.