A publisher reports that 36% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually less than the reported percentage. A random sample of 320 found that 30% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim? Step 1: State the null and alternative hypotheses. What is the Ho and Ha Step 2: : Find the value of the test statistic. Round your answer to two decimal places. Step 3: Specify if the test is one-tailed or two-tailed and determine the P-value of the test statistic. Round your answer to four decimal places.

A publisher reports that 36% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually less than the reported percentage. A random sample of 320 found that 30% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim? Step 1: State the null and alternative hypotheses. What is the Ho and Ha Step 2: : Find the value of the test statistic. Round your answer to two decimal places. Step 3: Specify if the test is one-tailed or two-tailed and determine the P-value of the test statistic. Round your answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μd=0 Ha: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0 Step 2: What is the test statistic? Step 3: Do we reject the null hypothesis? Is there sufficient or insufficient data?
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 428 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 46 bag sample had a mean of 433 grams. Assume the population variance is known to be 441. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 6: Specify if the test is one-tailed or two-tailed. Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 6: Identify the level of significance for the hypothesis test. Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis. Step 7 of 7: State the conclusion of the hypothesis test.
A researcher first decided to conduct a two-tailed hypothesis test, with alpha = .05, but then decided she wants to reduce the risk of a Type I error. What should she do? a. Calculate her statistics more carefully. b. Decrease alpha to .01 c. Increase alpha to .15 e. Conduct a three-tailed test
A publisher reports that 30% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 200 found that 38% of the readers owned a particular make of car. Is there sufficient evidence at the 0.01 level to support the executive's claim? Step 1 of 7 : State the null and alternative hypotheses.
R/ Question 3 A humane society claims that less than 70% of households in a certain country own a pet. In a random sample of 400 households in that country, 268 say they own a pet. At α=0.10 is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. (b) Identify the standardized test statistic first then use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
Question 1 For the following scenarios provide the following: • the null and alternative hypotheses • explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, • explain how you should interpret a decision that rejects the null hypothesis, and • explain how you should interpret a decision that fails to reject the null hypothesis. a. A meal supplement provider claims that the average difference in calories between two brands is 55.
The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Compute the Z-score for this hypothesis test and round to two decimal places.
A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%
The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Compute the Z-score for this hypothesis test and round to two decimal places. z = -1.18 z = -1.25 z = -1.96 z = -1.56
Question 3 A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 500 households in that country, 285 say they own a pet. At α=0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. (b) Identify the standardized test statistic first then use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
ANSWER THE FOLLOWING PROBLEMS SHOWING COMPLETE SOLUTION ENCLOSE FINAL ANSWER THANK YOU! topic TESTS OF HYPOTHESES FOR A SINGLE SAMPLE Exercise 10.6 The proportion of adults living in a small townwho are college graduates is estimated to be p = 0.6.To test this hypothesis, a random sample of 15 adultsis selected. If the number of college graduates in thesample is anywhere from 6 to 12, we shall not rejectthe null hypothesis that p = 0.6; otherwise, we shallconclude that p= 0.6. (a) Evaluate α assuming that p = 0.6. Use the bino-mial distribution. (b) Evaluate β for the alternatives p = 0.5 and p = 0.7.(c) Is this a good test procedure? Exercise 10.7 Repeat Exercise 10.6 but assume that 200 adultsare selected and the fail-to-reject region is defined tobe 110 ≤ x ≤ 130, where x is the number of college graduates in our sample. Use the normal approxima-tion. ANSWER EXERCISE 10.7 ONLY
ANSWER THE FOLLOWING PROBLEMS SHOWING COMPLETE SOLUTION ENCLOSE FINAL ANSWER THANK YOU! topic TESTS OF HYPOTHESES FOR A SINGLE SAMPLE Exercise 10.6 The proportion of adults living in a small townwho are college graduates is estimated to be p = 0.6.To test this hypothesis, a random sample of 15 adultsis selected. If the number of college graduates in thesample is anywhere from 6 to 12, we shall not rejectthe null hypothesis that p = 0.6; otherwise, we shallconclude that p= 0.6. (a) Evaluate α assuming that p = 0.6. Use the bino-mial distribution. (b) Evaluate β for the alternatives p = 0.5 and p = 0.7.(c) Is this a good test procedure?