An educational report asserts that 70% of all young adults start planning their career at the age of 18. In a sample of 1000 adults, 744 started their career plans at the age of 18. Test whether the true proportion of all young adults who began planning their career at the age of 18 is more than 70% at the 5% significance level.What is the decision regarding the null hypothesis at the 5% significance level, using the critical value approach?Group of answer choicesThe decision is to reject H0 because the test statistic falls in the rejection region [1.645, ∞).The decision is to reject H0 because the test statistic falls in the rejection region [1.960, ∞).The decision is to reject H0 because the test statistic falls in the rejection region (-∞,-1.645].The decision is not to reject H0 because the test statistic does not fall in the rejection region (-∞,-1.645] U [1.645, ∞).The decision is not to reject H0 because the test statistic does not fall in the rejection region (-∞,-1.960] U [1.960, ∞).

For large samples, the sampling distributions of statistic are normal(Z Test).

Answered: An educational report asserts that 70%…

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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An educational report asserts that 70% of all young adults start planning their career at the age of 18. In a sample of 1000 adults, 744 started their career plans at the age of 18. Test whether the true proportion of all young adults who began planning their career at the age of 18 is more than 70% at the 5% significance level.

What is the decision regarding the null hypothesis at the 5% significance level, using the critical value approach?

Group of answer choices

The decision is to reject H₀ because the test statistic falls in the rejection region [1.645, ∞).

The decision is to reject H₀ because the test statistic falls in the rejection region [1.960, ∞).

The decision is to reject H₀ because the test statistic falls in the rejection region (-∞,-1.645].

The decision is not to reject H₀ because the test statistic does not fall in the rejection region (-∞,-1.645] U [1.645, ∞).

The decision is not to reject H₀ because the test statistic does not fall in the rejection region (-∞,-1.960] U [1.960, ∞).

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