Question

Question #1 A random sample of 20 binomial trials resulted in 8 successes. Test the claim...

Question #1

A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.

(c) Compute p̂.


Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.)


(d) Find the P-value of the test statistic. (Round your answer to four decimal places.)

Question # 2

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 491 five-syllable sequences from this manuscript showed that 128 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use α = 0.01.

(a) What is the level of significance?

What is the value of the sample test statistic? (Round your answer to two decimal places.)


(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)


Sketch the sampling distribution and show the area corresponding to the P-value.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 500 five-syllable sequences from this manuscript showed that 131 were of the type four short and one long. Do...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (1) Compute p̂. (2) Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.) (3) Find the P-value of the test statistic. (Round your answer to four decimal places.) Recall that Benford's Law claims that numbers chosen from very large data files tend to have...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the distribution? Explain. Yes, n·p and n·q are both less than 5. No, n·p is greater than 5, but n·q is less than 5. Yes, n·p and n·q are both greater than 5. No, n·p and n·q are both less than...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p̂ distribution? Explain. Yes, np and nq are both greater than 5.No, np and nq are both less than 5.    No, np is greater than 5, but nq is less than 5.Yes, np and nq are both less than 5.No, nq...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the...
A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p hat distribution? Explain. No, n·p and n·q are both less than 5. No, n·p is greater than 5, but n·q is less than 5. No, n·q is greater than 5, but n·p is less than 5. Yes, n·p and...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 499 five-syllable sequences from this manuscript showed that 132 were of the type four short and one long. Do...
A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the...
A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (e) Do you reject or fail to reject H0? Explain. At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.    At the α =...
A random sample of 30 binomial trials resulted in 12 successes. Test the claim that the...
A random sample of 30 binomial trials resulted in 12 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the  distribution? Explain. Yes, n·p and n·q are both greater than 5 .No, n·p and n·q are both less than 5.     Yes, n·p and n·q are both less than 5 .No, n·p is greater than 5, but n·q is less than 5....
A random sample of 40 binomial trials resulted in 16 successes. Test the claim that the...
A random sample of 40 binomial trials resulted in 16 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p̂ distribution? Explain. No, nq is greater than 5, but np is less than 5.Yes, np and nq are both greater than 5.    No, np is greater than 5, but nq is less than 5.No, np and nq are both less...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 481 five-syllable sequences from this manuscript showed that 125 were of the type four short and one long. Do...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT