A random sample of 50 students who took an aptitude test had a mean raw score of 32. An evaluator from the school claims the score is at least 30. At 5% level of significance is there enough evidence to support the evaluator's claim? Assume the population standard deviation is 4.5 points. a. Display the hypothesis structure, identify the claim and the test type b. Find the p-value and indicate if the null hypothesis should be rejected or not. p= c. Circle one: Reject Null hypothesis Fail to reject Null hypothesis Circle one: Reject Claim Accept Claim d. Write your verbal conclusion about the claim at the 5% level of significance. Would the result change if the test was performed at the 6% level of significance? Explain. e.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 35PPS
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LAB Chapter 10 - Chapter 10# 1, 2, 3, 4
Note: (1) Computation of the p-value must be done with the Ti-84 Calculator. (ii) All work must be done
by hand and not using a keyboard.
In this lab we cover the important technique in inferential statistics called hypothesis testing. A hypothesis test
is a process that uses sample statistics to test a claim about the value of a population parameter. Researchers in
fields such as medicine, psychology, and business rely on hypothesis testing to make informed decisions about
new medicines, treatments, and marketing strategies.
1. A random sample of 50 students who took an aptitude test had a mean raw score of 32. An evaluator from
the school claims the score is at least 30. At 5% level of significance is there enough evidence to support the
evaluator's claim? Assume the population standard deviation is 4.5 points.
a. Display the hypothesis structure, identify the claim and the test type
b. Find the p-value and indicate if the null hypothesis should be rejected or not.
p=
c. Circle one: Reject Null hypothesis Fail to reject Null hypothesis
Circle one: Reject Claim Accept Claim
d. Write your verbal conclusion about the claim at the 5% level of significance.
Would the result change if the test was performed at the 6% level of significance? Explain.
е.
Transcribed Image Text:LAB Chapter 10 - Chapter 10# 1, 2, 3, 4 Note: (1) Computation of the p-value must be done with the Ti-84 Calculator. (ii) All work must be done by hand and not using a keyboard. In this lab we cover the important technique in inferential statistics called hypothesis testing. A hypothesis test is a process that uses sample statistics to test a claim about the value of a population parameter. Researchers in fields such as medicine, psychology, and business rely on hypothesis testing to make informed decisions about new medicines, treatments, and marketing strategies. 1. A random sample of 50 students who took an aptitude test had a mean raw score of 32. An evaluator from the school claims the score is at least 30. At 5% level of significance is there enough evidence to support the evaluator's claim? Assume the population standard deviation is 4.5 points. a. Display the hypothesis structure, identify the claim and the test type b. Find the p-value and indicate if the null hypothesis should be rejected or not. p= c. Circle one: Reject Null hypothesis Fail to reject Null hypothesis Circle one: Reject Claim Accept Claim d. Write your verbal conclusion about the claim at the 5% level of significance. Would the result change if the test was performed at the 6% level of significance? Explain. е.
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