Mathematics, 25.04.2020 03:26 miko96

N 19451945, an organization asked 14031403 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 737737 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 19451945? Use the alpha equals 0.01α=0.01 level of significance.

Answers: 2

Show answers

Answers

Answer from: taryn3

We conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

Step-by-step explanation:

We are given that an organization asked 1403 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 737 responding yes.

We have to conduct a test to determine that a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

Let p = percentage of citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

SO, Null Hypothesis, H_0 : p $\leq$ 50% {means that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs}

Alternate Hypothesis, H_A : p > 50% {means that majority of the citizens feel the country could develop a way to protect itself from atomic bombs}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = proportion of citizens responding yes in a sample of 1403 citizens = $\frac{737}{1403}$

n = sample of citizens = 1403

So, test statistics = $\frac{\frac{737}{1403} -0.50}{{\sqrt{\frac{\frac{737}{1403}(1-\frac{737}{1403})}{1403} } } } }$

= 1.898

The value of the test statistics is 1.898.

Now at 1% significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is less than the critical value of z as 1.898 < 2.3263, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

And i oop, gurlll he not gonna have no more left .. anna ou

Another question on Mathematics

Mathematics, 21.06.2019 14:30

After the seventh month of a 12-month loan: the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} = , and the denominator is: {(n) + (n + 1) + + (n + 11)} = . therefore, the fraction is numerator/denominator (to the nearest tenth) = %

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

5. (04.07)which of the following exponential functions goes through the points (1, 12) and (2, 36)? (2 points)f(x) = 3(4)^xf(x) = 4(3)^-xf(x) = 3(4)^-xf(x) = 4(3)^x

Answers: 1

Answer

Mathematics, 22.06.2019 03:10

Two groups of students were asked how many hours they spent reading each day. the table below shows the numbers for each group: group a 1 2 1 1 3 3 2 2 3 group b 3 2 3 2 2 2 1 1 2 based on the table, which of the following is true? the interquartile range for group a students is 0.5 less than the interquartile range for group b students. the interquartile range for group a students is equal to the interquartile range for group b students. the interquartile range for group a employees is 0.5 more than to the interquartile range for group b students. the interquartile range for group a employees is 1 more than the interquartile range for group b students.

Answers: 1

Answer

You know the right answer?

N 19451945, an organization asked 14031403 randomly sampled American citizens, "Do you think we can...

Questions