In a small town in Colorado, it was found that 54% of the population support Candidate Randy. In a random sample of 180 residents of this small town, it was found that 85 of them support Randy. Perform a test to determine if less than 54% of the population support Randy. Use a significance level of 0.01%. a. Check all of the requirements that are satisfied. random the distribution is normal since n > 30 the distribution is normal since the distribution is normal the û distribution is normal since np > 10 and ng > 10 b. Identify the null and alternative hypotheses. Enter the parameter as a decimal. Ho: P 0 right-tailed two-tailed O 0.54 H₁: P c. What type of hypothesis test should you conduct (left, right, or two-tailed)? left-tailed 0.54 d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. e. Which calculator function should you use? 1-PropZ Test f. Find the test statistic. Write the result below, and be sure to round your final answer to two decimal places. g. Find the p-value. Enter your answer as a decimal (not a percentage) and round to 4 decimal places.

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 10CYU
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In a small town in Colorado, it was found that 54% of the population support Candidate Randy. In a random
sample of 180 residents of this small town, it was found that 85 of them support Randy. Perform a test to
determine if less than 54% of the population support Randy. Use a significance level of 0.01%.
a. Check all of the requirements that are satisfied.
✔random
O the
O the
✔ the
or
b. Identify the null and alternative hypotheses. Enter the parameter as a decimal.
Ho: P
H₁: p
distribution is normal since n > 30
distribution is normal since the distribution is normal
distribution is normal since np > 10 and ng > 10
08
Dr
0.54
0.54
08
Or
c. What type of hypothesis test should you conduct (left, right, or two-tailed)?
Ⓒleft-tailed
Oright-tailed
two-tailed
d. Identify the appropriate significance level. Make sure to enter your answer as a decimal.
e. Which calculator function should you use? 1-PropZ Test Y
f. Find the test statistic. Write the result below, and be sure to round your final answer to two decimal
places.
g. Find the p-value. Enter your answer as a decimal (not a percentage) and round to 4 decimal places.
Transcribed Image Text:In a small town in Colorado, it was found that 54% of the population support Candidate Randy. In a random sample of 180 residents of this small town, it was found that 85 of them support Randy. Perform a test to determine if less than 54% of the population support Randy. Use a significance level of 0.01%. a. Check all of the requirements that are satisfied. ✔random O the O the ✔ the or b. Identify the null and alternative hypotheses. Enter the parameter as a decimal. Ho: P H₁: p distribution is normal since n > 30 distribution is normal since the distribution is normal distribution is normal since np > 10 and ng > 10 08 Dr 0.54 0.54 08 Or c. What type of hypothesis test should you conduct (left, right, or two-tailed)? Ⓒleft-tailed Oright-tailed two-tailed d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. e. Which calculator function should you use? 1-PropZ Test Y f. Find the test statistic. Write the result below, and be sure to round your final answer to two decimal places. g. Find the p-value. Enter your answer as a decimal (not a percentage) and round to 4 decimal places.
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