Various studies indicate that approximately 9% of the world's population is left handed. You think this...

Various studies indicate that approximately 9% of the world's population is left handed. You think this number is actually higher. You take an SRS of 221 people and find that 22 of them are left handed. Test your claim at the 5% significance level.

Part a: State your null and alternative hypotheses.

Part b: Sketch the rejection region.

Part c: Calculate the test statistic. Plot this value in your sketch in part b.

Part d: Determine the P-value for your test.

Part e: State your conclusion clearly in complete sentences.

thank you and use R if possible!

Solutions

Expert Solution

The hypothesis being tested is:

H0: p = 0.09

Ha: p > 0.09

Observed	Hypothesized
0.0995	0.09	p (as decimal)
22/221	20/221	p (as fraction)
22.	19.89	X
221	221	n

	0.0193	std. error
	0.50	z
	.3100	p-value (one-tailed, upper)

The test statistic is 0.50.

The rejection region is z > 1.645.

The p-value is 0.3100.

Since the p-value (0.3100) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that the number is actually higher.

The graph is:

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Approximately 13% of the population are left-handed. If three people are randomly selected, what is the...

Approximately 13% of the population are left-handed. If three people are randomly selected, what is the probability that all are left- handed? (round to 4 decimal places) If three people are randomly selected, what is the probability that at least 1 person is not left handed? (round to 4 decimal places) Notice that these two events are complementary (the probabilities do add up to 1).

. Approximately 10% of all people are left-handed, then the rest of people are right-handed. Consider...

. Approximately 10% of all people are left-handed, then the rest of people are right-handed. Consider a group of 15 people, answer the following question: (You cannot use the binomial table for this problem) (a) State the random variable ?. (2 points) (b) Explain why this is a binomial experiment. There should be 4 conditions to check. (State the probability of left-handed people ?, the possible outcomes, and the number of trials ? in the conditions.) (4 points) (c) Find...

1. It is known that 15.2% of the population is left-handed. Select a sample of 60...

1. It is known that 15.2% of the population is left-handed. Select a sample of 60 individuals? a) Describe the sampling distribution of the sample proportion. Be sure to calculate the mean (expected value) and the standard deviation of the sample proportion. b) What is the probability that at least 20% of individuals in this sample will be left-handed? c) What is the probability that at most 35% of individuals in this sample will be left-handed?

Suppose the proportion of left-handed individuals in a population is θ. Based on a simple random...

Suppose the proportion of left-handed individuals in a population is θ. Based on a simple random sample of 20, you observe four left-handed individuals. Using R a) Assuming the sample size is small relative to the population size, plot the loglikelihood function and determine the Maximum Likelihood Estimate. b) If instead the population size is only 50, then plot the log-likelihood function and determine the MLE. (Hint: Remember that the number of left-handed individuals follows a hypergeometric distribution. This forces...

Approximately 6.85 left-handed people are killed each day by using an object or machinery designed for...

Approximately 6.85 left-handed people are killed each day by using an object or machinery designed for right-handed people. Let X be the number of left-handed people killed this way in one day. a. What values can X take? Why is this a Poisson situation? What is the parameter? b. What is the probability that exactly 7 left-handed people will be killed using a right-handed object tomorrow? c. What is the expected number of left-handed people killed using a right-handed object...

Approximately 10% of all people are left-handed. Consider a grouping of fifteen people. State the random...

Approximately 10% of all people are left-handed. Consider a grouping of fifteen people. State the random variable. Write the probability distribution. Draw a histogram. Describe the shape of the histogram. Find the mean. Find the variance. Find the standard deviation.

Based on prior studies, about 10% of Californians are left-handed. Find the minimum sample size needed...

Based on prior studies, about 10% of Californians are left-handed. Find the minimum sample size needed to estimate the percentage of California residents who are left-handed. Use a margin of error of two percentage points, and use a confidence level of 95%.

1. Given a population in where the probability of someone being left handed is 0.3, people...

1. Given a population in where the probability of someone being left handed is 0.3, people is taken then... Calculate the probability the proportion of left-h

You want to know if right-handed individuals have a lower grade point average than left handed...

You want to know if right-handed individuals have a lower grade point average than left handed individuals. Question 1 options: Multiple Regression chi squared t-test correlation ANOVA (F test) Question 2 (1 point) Saved You want to see if a new ad campaign toward underage drinking is working. You break people up into two groups (over 21 and under 21) and measure the number of alcoholic beverages they have had in the past 2 weeks. Question 2 options: chi squared...

The probability that a person is left-handed is 17%. You randomly select three people. What is...

The probability that a person is left-handed is 17%. You randomly select three people. What is the probability that: a) all three are left handed b) none of them are left handed c) at least one of them is left-handed

Subjects