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3/10/2021 Unit VII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/2 27. Student: Gaibrielle Goodson Date: 03/10/21 Instructor: Katherine Springer Course: MTH 2023-W18Gc-4A21-S1, Elementary Statistics Assignment: Unit VII Homework A research center claims that % of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of adults in that country, % say that they would travel into space on a commercial flight if they could afford it. At , is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. 27 1200 31 α = 0.01 (a) Identify the claim and state and .H0 Ha Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. B. % of adults in the country would travel into space on a commercial flight if they could afford it. C. No more than % of adults in the country would travel into space on a commercial flight if they could afford it. D. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not %. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State and . Select the correct choice below and fill in the answer boxes to complete your choice. H0 Ha (Round to two decimal places as needed.) A. : p H0 ≥ : p Ha < b.="" :="" p="" h0="">< :="" p="" ha="" ≥="" c.="" :="" p="" h0=":" p="" ha="" ≠="" d.="" :="" p="" h0="" ≠="" :="" p="" ha="E." :="" p="" h0=""> : p Ha ≤ F. : p H0 ≤ : p Ha > (b) Use technology to find the P-value. Identify the standardized test statistic. z = (Round to two decimal places as needed.) Identify the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim. (1) the null hypothesis. There (2) enough evidence to (3) the research center's claim. 3/10/2021 Unit VII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math 2/2 (1) Reject Fail to reject (2) is not is (3) support reject 3/10/2021 Unit VII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/1 22. Student: Gaibrielle Goodson Date: 03/10/21 Instructor: Katherine Springer Course: MTH 2023-W18Gc-4A21-S1, Elementary Statistics Assignment: Unit VII Homework (1) (2) (3) (4) (5) alternative null (6) Reject Fail to reject (7) is not is (8) is is not (9) (10) less than or equal to equal to greater than less than greater than or equal to not equal to A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than seconds. A random sample of sedans has a mean minimum time to travel a quarter mile of seconds and a standard deviation of seconds. At is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 14.5 21 15.5 2.11 α = 0.05 (a) Identify the claim and state and .H0 Ha H : 0 (1) (2) H : a (3) (4) (Type integers or decimals. Do not round.) The claim is the (5) hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t = (Round to two decimal places as needed.) Obtain the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. (6) because the P-value (7) greater than .H0 α (d) Interpret the decision in the context of the original claim. There (8) enough evidence at the % level of significance to (9) the claim that the mean minimum time it takes for a sedan to travel a quarter mile is (10) seconds. (Type integers or decimals. Do not round.) μ p σ σ 2 <> ≥ ≠ ≤ = p σ 2 σ μ ≥ ≤ ≠ < ==""> support reject 3/10/2021 Unit VII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/2 26. Student: Gaibrielle Goodson Date: 03/10/21 Instructor: Katherine Springer Course: MTH 2023-W18Gc-4A21-S1, Elementary Statistics Assignment: Unit VII Homework A research center claims that at least % of adults in a certain country think that their taxes will be audited. In a random sample of adults in that country in a recent year, % say they are concerned that their taxes will be audited. At , is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. 25 1100 20 α = 0.10 (a) Identify the claim and state and .H0 Ha Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that their taxes will be audited is not %. B. % of adults in the country think that their taxes will be audited. C. At least % of adults in the country think that their taxes will be audited. D. Less than % of adults in the country think that their taxes will be audited. Let p be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State and . Select the correct choice below and fill in the answer boxes to complete your choice.H0 Ha (Round to two decimal places as needed.) A. : p H0 > : p Ha ≤ B. : p H0 = : p Ha ≠ C. : p H0 ≤ : p Ha > D. : p H0 ≥ : p Ha < e.="" :="" p="" h0="" ≠="" :="" p="" ha="F." :="" p="" h0="">< :="" p="" ha="" ≥="" (b)="" find="" the="" critical="" value(s)="" and="" identify="" the="" rejection="" region(s).="" identify="" the="" critical="" value(s)="" for="" this="" test.="" z0="(Round" to="" two="" decimal="" places="" as="" needed.="" use="" a="" comma="" to="" separate="" answers="" as="" needed.)="" identify="" the="" rejection="" region(s).="" select="" the="" correct="" choice="" below="" and="" fill="" in="" the="" answer="" box(es)="" to="" complete="" your="" choice.="" (round="" to="" two="" decimal="" places="" as="" needed.)="" a.="" the="" rejection="" regions="" are="" z="" and="" z=""><> B. The rejection region is z .<>< c.="" the="" rejection="" region="" is="" z="">< d.="" the="" rejection="" region="" is="" z="" .=""> (c) Find the standardized test statistic z. z = (Round to two decimal places as needed.) 3/10/2021 Unit VII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math 2/2 (1) Reject Fail to reject (2) is is not (3) reject support (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. (1) the null hypothesis. There (2) enough evidence to (3) the center's claim. 3/10/2021 Unit VII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/2 25. Student: Gaibrielle Goodson Date: 03/10/21 Instructor: Katherine Springer Course: MTH 2023-W18Gc-4A21-S1, Elementary Statistics Assignment: Unit VII Homework For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, is the level of significance, is the sample proportion, and n is the sample size. If it can be used, test the claim. α p Claim: p ; . Sample statistics: , n≥ 0.64 α = 0.08 p = 0.60 = 110 Let q and let . A normal sampling distribution (1) be used here, since (2) (3) 5 and (4) (5) 5. = 1 − p q = 1 − p If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. : p , : p (Round to two decimal places as needed.) H0 = Ha ≠ B. : p , : p (Round to two decimal places as needed.) H0 < ha="" ≥="" c.="" :="" p="" ,="" :="" p="" (round="" to="" two="" decimal="" places="" as="" needed.)="" h0="" ≤="" ha=""> D. : p , : p (Round to two decimal places as needed.) H0 ≠ Ha = E. : p , : p (Round to two decimal places as needed.) H0 > Ha ≤ F. : p , : p (Round to two decimal places as needed.) H0 ≥ Ha < g. a normal sampling distribution cannot be used. if a normal sampling distribution can be used, identify the critical value(s) for this test. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. z0 = (round to two decimal places as needed. g.="" a="" normal="" sampling="" distribution="" cannot="" be="" used.="" if="" a="" normal="" sampling="" distribution="" can="" be="" used,="" identify="" the="" critical="" value(s)="" for="" this="" test.="" select="" the="" correct="" choice="" below="" and,="" if="" necessary,="" fill="" in="" the="" answer="" box="" to="" complete="" your="" choice.="" a.="" z0="(Round" to="" two="" decimal="" places="" as="">