Show that if A and B are ideals of the unity-containing commutative ring R.
Suppose that R is a commutative ring and . If I is an ideal of R and ,demonstrate the maximum ideality.
If a high school graduating class has 128 students, 52 of them are on the honor roll, and 48 of them are attending college, the likelihood that a student selected at random from the class will not be attending college and making the honor roll may be calculated. The number of students who are not on the honor roll is 76, out of these 56 are going to college.
Solve the linear equations by considering y as a function of x, that is,
Would you rather spend more federal taxes on art? Of a random sample of
a) State the null and alternate hypotheses.
b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal. The Student's t. We assume the population distributions are approximately normal.
c)What is the value of the sample test statistic? (Test the difference
d) Find (or estimate) the P-value. (Round your answer to four decimal places.)
e) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level alpha? At the
f) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters.