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Pope Parsons
01/07/2023 · Middle School

A research center claims that more than \( 25 \% \) of employees in a certain country have changed jobs in the past three years. In a random sample of 260 people from that country, 78 have changed jobs in the past three years At \( \alpha=0.05 \), is there enough evidence to support the center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state \( \mathrm{H}_{0} \) and \( \mathrm{H}_{\mathrm{a}} \). 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 employees in the country who have changed jobs in the past three years is not B. More than \( \square \% \) of employees in the country have changed jobs in the past three years. D. At most \( \square \% \) of employees in the country have changed jobs in the past three years. Let p be the population proportion of successes, where a success is the country have changed jobs in the past three years. jobs in the past three years. State \( \mathrm{H}_{0} \) and \( \mathrm{H}_{\mathrm{a}} \). Select the correct choice below and fill in the answer boxes to complete vour choice.

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The claim is: More than \( 25\% \) of employees in the country have changed jobs in the past three years. \( H_0: p \leq 0.25 \) \( H_a: p > 0.25 \)

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