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The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 129 out of a random sample of 210 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) |(a) State the null hypothesis H, and the alternative hypothesis H1. Ho :0 H1 :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O=0 Oso O20 ? (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? Yes No

The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 129 out of a random sample of 210 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) |(a) State the null hypothesis H, and the alternative hypothesis H1. Ho :0 H1 :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O=0 Oso O20 ? (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 129 out of a random sample of 210 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? 圖 Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H. Ho : 0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 O<O ? (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes oNo
Transcribed Image Text:The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 129 out of a random sample of 210 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? 圖 Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H. Ho : 0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 O<O ? (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes oNo
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