Hello I just need help with the test statistic, the p-value, and where the test point lies on the distribution. Thank you :)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Hello I just need help with the test statistic, the p-value, and where the test point lies on the distribution. Thank you :)

 

d. Calculate the value of the tfest statistic.
What is the value of the p-value? Illustrate the p-value on the graph in step 3.
e. Plot the statistic on the graph of the distribution. In which region does the test point
lie?
Fill in the blanks. In the second blank fill in the appropriate sign: > or s
p-value -
0.05 -a
f. Select the proper decision about the null hypothesis.
Reject Ho
Fail to Reject Ho
g Interpret the decision in terms of the alternative hypothesis.
Transcribed Image Text:d. Calculate the value of the tfest statistic. What is the value of the p-value? Illustrate the p-value on the graph in step 3. e. Plot the statistic on the graph of the distribution. In which region does the test point lie? Fill in the blanks. In the second blank fill in the appropriate sign: > or s p-value - 0.05 -a f. Select the proper decision about the null hypothesis. Reject Ho Fail to Reject Ho g Interpret the decision in terms of the alternative hypothesis.
Math 2
Statistics
Class Participation 20
Chapter 22
Last Name:
First Name:
A researcher wants to investigate the claim that more than 70% of Americans take
prescription drugs. The researcher randomly selects 225 Americans and find that 170 do take
a (at least one) prescribed drug. Test the claim at the 5% significance level.
a. State the null and the altemative hypothesis using the proper notation established in
class.
Ho: PE 70
Ha P>70
b. Is the sample random? Ves
Calculate: np, =S7.5 and n(1 – p) = _le7.5
Are np, 2 10 and n(1 – Po) 2 107
yes
Is the sample size less than 10% of the population size?
No
Have the conditions of the test been satisfied? (For the purpose of this class exercise,
continue with the test even if the conditions are not satisfied.) Ves
c. What is the significance level? 5)0
What is the value(s) of the critical value(s)? Look this value up on a table!
Fully label the distribution shown below.
Transcribed Image Text:Math 2 Statistics Class Participation 20 Chapter 22 Last Name: First Name: A researcher wants to investigate the claim that more than 70% of Americans take prescription drugs. The researcher randomly selects 225 Americans and find that 170 do take a (at least one) prescribed drug. Test the claim at the 5% significance level. a. State the null and the altemative hypothesis using the proper notation established in class. Ho: PE 70 Ha P>70 b. Is the sample random? Ves Calculate: np, =S7.5 and n(1 – p) = _le7.5 Are np, 2 10 and n(1 – Po) 2 107 yes Is the sample size less than 10% of the population size? No Have the conditions of the test been satisfied? (For the purpose of this class exercise, continue with the test even if the conditions are not satisfied.) Ves c. What is the significance level? 5)0 What is the value(s) of the critical value(s)? Look this value up on a table! Fully label the distribution shown below.
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