Help please ! I dont understand this question

Mental Math: how many times greater is 8x10 (3rd exponent) than 4?

AURORKA [14]

It is more by 4000 because 8×10 with the third exponent is 8004 times the third exponent is 4000 important item +4000 equals 8000 so it's 4000

8 0

3 years ago

A poll indicates that % of a country's adults favor a ban on assault weapons. Suppose adults in a certain region are randomly

hammer [34]

Complete Question

poll indicates that 47% of a country's adults favor a ban on assault weapons. Suppose 330 adults in a certain region are randomly surveyed and 161 say they favor a ban. Based on this sample, test using alpha = 0.025 whether the proportion of the region's residents who favor the ban is different from the proportion given in the poll for the country as a whole. Report the p-value for this hypothesis test.

Identify the null and alternative hypotheses for this test. Let p be the population proportion of the region's residents who favor a ban on assault weapons.

A.

$H_o: p \ge 0.47\\\\ H_A\ p < 0.47$

B

$H_o: p \le\ 0.47\\\\ H_A\ p > 0.47$

C

$H_o: p \ne \ 0.47\\\\ H_A\ p = 0.47$

D

$H_o: p = \ 0.47\\\\ H_A\ p \ne 0.47$

Perform the test using a normal approximation. Identify the test statistic. (Round to two decimal places as needed.)

Identify the p-value. (Round to three decimal places as needed.)

State the conclusion for this hypothesis test.

Answer:

The correct option is D

The test statistics is $z = 0.6116$

The p-value $p-value= 0.5408$

The conclusion

There no sufficient evidence to state that the proportion of the region's residents who favor the ban is different from the proportion given in the poll for the country as a whole.

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.47

The sample size is n = 330

The number that favor the ban is k= 161

The level of significance is $\alpha = 0.025$

The null hypothesis is $H_o : p =0.47$

The alternative hypothesis is $H_a : p \ne 0.47$

Generally sample proportion is mathematically represented as

$\^p = \frac{k}{n}$

=> $\^p = \frac{161}{330}$

=> $\^p = 0.4879$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{\sqrt{\frac{p(1 - p)}{n} } }$

=> $z = \frac{0.4879 - 0.47 }{\sqrt{\frac{ 0.47 (1 - 0.47)}{ 330} } }$

=> $z = 0.6116$

From the z table the area under the normal curve to the right corresponding to 0.6116 is

$P( Z > 0.6116 ) = 0.2704$

given that is a two tailed test the p-value is mathematically represented as

$p-value= 2 * 0.2704$

$p-value= 0.5408$

From the values obtained we see that $p-value > \alpha$ so

The decision rule is

Fail to reject the null hypothesis

The conclusion

There no sufficient evidence to state that the proportion of the region's residents who favor the ban is different from the proportion given in the poll for the country as a whole

6 0

3 years ago

I need help on this....7th grade math!!

Basile [38]

Answer:

The answer is no.

Step-by-step explanation:

All you have to do is plot the points and see if they match up.

4 0

2 years ago

Read 2 more answers

What is the rate of change between the interval x= pi and x= 3pi/2

Romashka [77]

Answer:

$\frac{6}{\pi }$ or 1.9099

Step-by-step explanation:

Look for y values at each of those given values of "x" and apply the slope formula. When x = pi. y = -1 so the coordinate is $(\pi,-1)$ . When x = 3pi/2, y = 2 so the coordinate is $(\frac{3\pi }{2},2)$