An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
n a poll of 1,000 Americans this year, 64% say they do not support the Tea Party movement. Has opposition to the Tea Party movement increased since 2010? We test the following hypotheses at the 5% level of significance. LaTeX: H_0H 0: The proportion of Americans this year who oppose the Tea Party movement is 0.61. LaTeX: H_aH a: The proportion of Americans this year who oppose the Tea Party movement is greater than 0.61. The P-value is 0.026. What can we conclude and for what reason? Group of answer choices The poll does not suggest that more than 61% of Americans this year oppose the Tea Party movement. Why? The poll results of 64% are too close to 61% to be statistically significant. This small of a difference is expected in random sampling, so the P-value is small. The poll does not suggest that more than 61% of Americans this year oppose the Tea Party movement. Why? The 3% difference (64%-61%) is less than the significance level of 5%. The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The poll results were 64%, which is greater than 61%. The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
Step-by-step explanation:
At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.
The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.
Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.
The right answer is:
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
<span>Bob should by the 25cm cake for 18.75 each. He will need to buy 3 of these cakes in order to feed 57 guests. The total cost would be 56.25. If he were to buy the 20cm cake, he would need to purchase 5 cakes for a total of 67.50.</span>
For c to be positive, and for b to be negative, m must be negative and n must be negative.
X^2 - bx + c = (x - m)(x - n).
c is the product of m and n. If both m and n are positive, c would be positive. However b is the sum of m and n, therefore to make b negative, both m and n must be negative to ensure that the product of m and n is positive
Year Sam Sally1: X (3/2)X-10002: (5/2)X-2000 2X-15003: X/5+1000 X/4+1400Total 37X/10-1000 15X/4-1100 Since their investments are known to be equal, we equate the two totals and solve for X.37X/10-1000=15X/4-1100(150-148)X/40 = 1100-1000X/20=100X=2000 So Sam invested $2000 the first year.Sally invested X/4+1400=1900 in the last year.
