The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1300 voters in the town and found that 68% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 65%. Testing at the 0.01 level, is there enough evidence to support the strategist's claim

There is not enough evidence to support the percentage of residents who favor annexation is more than 65%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1300

p = 65% = 0.65

Alpha, α = 0.01

First, we design the null and the alternate hypothesis  

This is a one-tailed(right) test.  

Formula:

Putting the values, we get,

Now, we calculate the p-value from the table.

P-value = 0.011671

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the percentage of residents who favor annexation is more than 65%.

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4