6. An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 4% are employed as teachers or teaching assistants. At α = 0.01, is there enough evidence to reject the researcher’s claim? Complete parts (a) through (d) below.(a) Identify the claim and state H₀ and H₁.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. __________ % of working college students are employed as teachers or teaching assistants.- B. More than __________ % of working college students are employed as teachers or teaching assistants.- C. The percentage of working college students who are employed as teachers or teaching assistants is not __________ %.- D. At most __________ % of working college students are employed as teachers or teaching assistants.Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. State H₀ and H₁. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)- A. H₀: p ≥ _______ H₁: p < _______- B. H₀: p ≤ _______ H₁: p > _______- C. H₀: p ≠ _______ H₁: p = _______- D. H₀: p ≤ _______ H₁: p > _______- E. H₀: p > _______ H₁: p ≤ _______- F. H₀: p = _______ H₁: p ≠ _______(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 region is z < _______ and z > _______ - B. The rejection region is z < ______

Given, population proportion p=3%=0.03 sample n=400 sample proportion is P^=4%=0.04 a) claim is option D) at most 3% of working college students are employed as teachers or teaching assistants Null hypothesis (H0) : p≤0.03 Alternative hypothesis (Ha) : p>0.03 option (D) b) it is 1 tail test at α=0.05 level in 1 tail from z table zα=1.645 reject H0 if zcalculated>1.645 option D) the rejection region is z>1.645 c) test statistic: z= z=(0.04-0.03)/ = 0.01/0.0085 = 1.18 d) zcalculated < zα (i.e, 1.18<1.645) So, we fail to reject the null hypothesis H0 At 5% significance level there is not enough evidence to reject the researcher's claim.

Math

Statistics

An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 4% are employed as teachers or teaching assistants. At a= 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H, Identify the claim in this scenario. Select the correct choice below and fillin the answer box to complete your choice. (Type an integer or a decimal. Do not round) OA. % of working college students are employed as teachers or teaching assistants. OB. More than % of working college students are employed as teachers or teaching assistants. OC. The percentage of working college students who are employed as teachers or teaching assistants is not OD. At most % of working college students are employed as teachers or teaching assistants. Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant State H, and H, Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed) OA. H pe OB. H p2 | OC. Hạ: p H, pa H, p< OD. H ps OE H p> OF. He p= H, p> H, ps H, pt (b) Find the critical value(s) and identif the rejection region(s). Identify the critical value(s) for this test Zo = (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.) OA. The rejection regions are z< O B. The rejection region is z< and z> OC. The rejection region is OD. The rejection region is z> (c) Find the standardized test statistic z. (Round to two decimal places as needed) (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 researcher's claim O Reject O Fall to reject (2) O is O is not (1) (3) O support O reject

An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 4% are employed as teachers or teaching assistants. At a= 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H, Identify the claim in this scenario. Select the correct choice below and fillin the answer box to complete your choice. (Type an integer or a decimal. Do not round) OA. % of working college students are employed as teachers or teaching assistants. OB. More than % of working college students are employed as teachers or teaching assistants. OC. The percentage of working college students who are employed as teachers or teaching assistants is not OD. At most % of working college students are employed as teachers or teaching assistants. Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant State H, and H, Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed) OA. H pe OB. H p2 | OC. Hạ: p H, pa H, p< OD. H ps OE H p> OF. He p= H, p> H, ps H, pt (b) Find the critical value(s) and identif the rejection region(s). Identify the critical value(s) for this test Zo = (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.) OA. The rejection regions are z< O B. The rejection region is z< and z> OC. The rejection region is OD. The rejection region is z> (c) Find the standardized test statistic z. (Round to two decimal places as needed) (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 researcher's claim O Reject O Fall to reject (2) O is O is not (1) (3) O support O reject

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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