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From previous studies, it is concluded that 30% of workers were employed from newspaper ads. A researcher claims that the proportion is smaller than 30% and decides to survey 400 working adults. Test the researcher's claim at the απ 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? Yes No b. Verify np(1 - p) > 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are Ο Η : μ < 0.3 Η : μ > 0.3 H : μ > 0.3 Ha : μ < 0.3 Ho p<0.3 : Ho : | = 0.3 Hap > 0.3 H : μ # 0.3 Ho p≥ 0.3 Ho: p = 0.3 Ha p < 0.3 : Ha p0.3 b. The test is Select an answer c. Based on the sample of 400 people, 26% workers were employed from newspaper ads. What is the test statistic? Round your answer to two decimal places. ? d. What is the p-value? Round your answer to four decimal places. e. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. f. Make a conclusion. There is sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level. There is not sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level.

From previous studies, it is concluded that 30% of workers were employed from newspaper ads. A researcher claims that the proportion is smaller than 30% and decides to survey 400 working adults. Test the researcher's claim at the απ 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? Yes No b. Verify np(1 - p) > 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are Ο Η : μ < 0.3 Η : μ > 0.3 H : μ > 0.3 Ha : μ < 0.3 Ho p<0.3 : Ho : | = 0.3 Hap > 0.3 H : μ # 0.3 Ho p≥ 0.3 Ho: p = 0.3 Ha p < 0.3 : Ha p0.3 b. The test is Select an answer c. Based on the sample of 400 people, 26% workers were employed from newspaper ads. What is the test statistic? Round your answer to two decimal places. ? d. What is the p-value? Round your answer to four decimal places. e. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. f. Make a conclusion. There is sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level. There is not sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 22E
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From previous studies, it is concluded that 30% of workers were employed from newspaper ads. A researcher claims that the proportion is smaller than 30% and decides to survey 400 working adults. Test the researcher's claim at the απ 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? Yes No b. Verify np(1 - p) > 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are Ο Η : μ < 0.3 Η : μ > 0.3 H : μ > 0.3 Ha : μ < 0.3 Ho p<0.3 : Ho : | = 0.3 Hap > 0.3 H : μ # 0.3 Ho p≥ 0.3 Ho: p = 0.3 Ha p < 0.3 : Ha p0.3 b. The test is Select an answer c. Based on the sample of 400 people, 26% workers were employed from newspaper ads. What is the test statistic? Round your answer to two decimal places. ? d. What is the p-value? Round your answer to four decimal places. e. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. f. Make a conclusion. There is sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level. There is not sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level.
Transcribed Image Text:From previous studies, it is concluded that 30% of workers were employed from newspaper ads. A researcher claims that the proportion is smaller than 30% and decides to survey 400 working adults. Test the researcher's claim at the απ 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? Yes No b. Verify np(1 - p) > 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are Ο Η : μ < 0.3 Η : μ > 0.3 H : μ > 0.3 Ha : μ < 0.3 Ho p<0.3 : Ho : | = 0.3 Hap > 0.3 H : μ # 0.3 Ho p≥ 0.3 Ho: p = 0.3 Ha p < 0.3 : Ha p0.3 b. The test is Select an answer c. Based on the sample of 400 people, 26% workers were employed from newspaper ads. What is the test statistic? Round your answer to two decimal places. ? d. What is the p-value? Round your answer to four decimal places. e. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. f. Make a conclusion. There is sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level. There is not sufficient evidence that the proportion of people who workers were employed from newspaper ads is smaller than 30% at the significance level.
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