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An independent knowledge, attitudes and practices survey on COFLU-20 was conducted in a large first-world country. The individual attitude scores were found to be normally distributed with the mean of 5 and a standard deviation of 1.3. For our current investigation of the 300 respondents, the mean score for attitude was found to be 5.6 with a standard deviation of 2.8 The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards COFLU-20 is significantly different from 5. To conduct this test, you are required to: (a) Explain the meaning of 3% level of significance' to the researcher. b) State whether this is a one-tailed test or a two-tailed test. Give reason for your answer. (c) State the null and the alternative hypotheses for this test. I (d) Calculate the value of the test statistic for this test (e) Calculate the p-value for this test. (f) Using the p-value approach, state tie onclusion of this test. Siaie your reasoning for arriving at your conclusion. (g) The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in part (f)"

An independent knowledge, attitudes and practices survey on COFLU-20 was conducted in a large first-world country. The individual attitude scores were found to be normally distributed with the mean of 5 and a standard deviation of 1.3. For our current investigation of the 300 respondents, the mean score for attitude was found to be 5.6 with a standard deviation of 2.8 The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards COFLU-20 is significantly different from 5. To conduct this test, you are required to: (a) Explain the meaning of 3% level of significance' to the researcher. b) State whether this is a one-tailed test or a two-tailed test. Give reason for your answer. (c) State the null and the alternative hypotheses for this test. I (d) Calculate the value of the test statistic for this test (e) Calculate the p-value for this test. (f) Using the p-value approach, state tie onclusion of this test. Siaie your reasoning for arriving at your conclusion. (g) The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in part (f)"

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An independent knowledge, attitudes and practices survey on COFLU-20 was conducted in a large first-world country. The individual attitude scores were found to be normally distributed with the mean of 5 and a standard deviation of 1.3. For our current investigation of the 300 respondents, the mean score for attitude was found to be 5.6 with a standard deviation of 2.8 The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards COFLU-20 is significantly different from 5. To conduct this test, you are required to: (a) Explain the meaning of 3% level of significance' to the researcher. b) State whether this is a one-tailed test or a two-tailed test. Give reason for your answer. (c) State the null and the alternative hypotheses for this test. I (d) Calculate the value of the test statistic for this test (e) Calculate the p-value for this test. (f) Using the p-value approach, state tie onclusion of this test. Siaie your reasoning for arriving at your conclusion. (g) The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in part (f)"
Transcribed Image Text:An independent knowledge, attitudes and practices survey on COFLU-20 was conducted in a large first-world country. The individual attitude scores were found to be normally distributed with the mean of 5 and a standard deviation of 1.3. For our current investigation of the 300 respondents, the mean score for attitude was found to be 5.6 with a standard deviation of 2.8 The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards COFLU-20 is significantly different from 5. To conduct this test, you are required to: (a) Explain the meaning of 3% level of significance' to the researcher. b) State whether this is a one-tailed test or a two-tailed test. Give reason for your answer. (c) State the null and the alternative hypotheses for this test. I (d) Calculate the value of the test statistic for this test (e) Calculate the p-value for this test. (f) Using the p-value approach, state tie onclusion of this test. Siaie your reasoning for arriving at your conclusion. (g) The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in part (f)"
Expert Solution
Step 1

Given that:

Population mean, μ=5

Population standard deviation, σ=1.3

Sample mean, x¯=5.6

Sample standard deviation, s=2.8

Sample size, n=300

 

Step 2

(a)

A significance level of 3% means that if the population mean score for attitude is 5, then there is 3% of chance that the result will conclude that the population mean score is not 5.

(b)

Since the alternative hypothesis include not equal sign ≠ which means that the test is two-tailed.

(c)

State the null and alternative hypotheses for the test:

H0:μ=5H1:μ≠5

(d)

Since there is presence of population standard deviation, so use z-test. 

Compute the test statistic:

z=x¯-μσn=5.6-51.3300=7.994

(e)

Determine the p-value of the test statistic by using the following excel function:

Statistics homework question answer, step 2, image 1

2PZ≥z=21-PZ≤z=21-1=0

 

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