From previous studies, it is concluded that 50% of workers were employed from networking. A researcher claims that the proportion is smaller than 50% and decides to survey 500 working adults. Test the researcher's claim at the a=0.05 significance level. Is it safe to assume that n≤0.05 of all subjects in the population? No Yes Verify np(1-p)≥10. Round your answer to one decimal place.np(1-p)= The null and alternative hypotheses are Ho: μ =0.5Ha:μ ≠0.5 Ho:p≤0.5Ha:p>0.5 Ho:p=0.5Ha:p≠0.5 Ho:μ ≤0.5Ha:μ >0.5 Ho:μ ≥0.5Ha:μ <0.5 Ho: p≥0.5Ha :p<0.5 The test is a.right-tailed or b. two-tailed or c. left-tailed Based on the sample of 500 people, 45% workers were employed from networking. What is the test statistic? Round your answer to two decimal places. What is the p-value? Round your answer to four decimal places. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. Make a conclusion. There is not sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level. There is sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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Question

From previous studies, it is concluded that 50% of workers were employed from networking. A researcher claims that the proportion is smaller than 50% and decides to survey 500 working adults. Test the researcher's claim at the a=0.05 significance level.

Is it safe to assume that n≤0.05 of all subjects in the population?
- No
- Yes
Verify np(1-p)≥10. Round your answer to one decimal place.

np(1-p)=
The null and alternative hypotheses are
- Ho: μ =0.5
  Ha:μ ≠0.5
- Ho:p≤0.5
  Ha:p>0.5
- Ho:p=0.5
  Ha:p≠0.5
- Ho:μ ≤0.5
  Ha:μ >0.5
- Ho:μ ≥0.5
  Ha:μ <0.5
- Ho: p≥0.5
  Ha :p<0.5
The test is
a.right-tailed or b. two-tailed or c. left-tailed
Based on the sample of 500 people, 45% workers were employed from networking. What is the test statistic? Round your answer to two decimal places.
What is the p-value? Round your answer to four decimal places.
Make a decision.
- Do not reject the null hypothesis.
- Reject the null hypothesis.
Make a conclusion.
- There is not sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level.
- There is sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level.