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Questions › IIT JAM › IIT JAM 2023 › Q50
1 markStatistics › Hypothesis testing › Tests for means, proportions and variancesModerateabout 2 min

IIT JAM 2023 Question 50: Hypothesis testing

Let π\piπ be the proportion vaccinated, with estimate π^=0.64\hat\pi=0.64π^=0.64 from n=100n=100n=100. The zzz test statistic for H0:π=0.58H_0:\pi=0.58H0​:π=0.58 is ________ (round off to 2 decimal places).

Answer and worked solution

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Plain-text version

Let π be the proportion vaccinated, with estimate π̂=0.64 from n=100. The z test statistic for H₀:π=0.58 is (round off to 2 decimal places).

Also written as: Let pi be the proportion vaccinated, with estimate pi_hat=0.64 from n=100. The z test statistic for H_0:pi=0.58 is (round off to 2 decimal places).

Hypothesis testing has come up 47 times in 7 exams since 2007.

What this question tests

This question is on Tests for means, proportions and variances, part of Hypothesis testing in Statistics.

Applying z, t, F and chi-square tests to common problems.

TestStop has 15 past-paper questions on this subtopic.

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