A hypothesis test is to be performed. State the null and alternative hypotheses. -A consumer group believes that the proportion of defects among computers produced by one manufacturer is greater than the $2 \%$ claimed by the company. A) Null hypothesis: proportion of defectives $= 2 \%$ Alternative hypothesis: proportion of defectives $ 2 \%$ B) Null hypothesis: proportion of defectives $= 2 \%$ Alternative hypothesis: proportion of defectives $\geq 2 \%$ C) Null hypothesis: proportion of defectives $ 2 \%$ Alternative hypothesis: proportion of defectives $= 2 \%$ D) Null hypothesis: proportion of defectives $ 2 \%$

Question

A hypothesis test is to be performed. State the null and alternative hypotheses.
-A consumer group believes that the proportion of defects among computers produced by one manufacturer is greater than the $2 \%$ claimed by the company.
A) Null hypothesis: proportion of defectives $= 2 \%$
Alternative hypothesis: proportion of defectives $> 2 \%$
B) Null hypothesis: proportion of defectives $= 2 \%$
Alternative hypothesis: proportion of defectives $\geq 2 \%$
C) Null hypothesis: proportion of defectives $> 2 \%$
Alternative hypothesis: proportion of defectives $= 2 \%$
D) Null hypothesis: proportion of defectives $< 2 \%$
Alternative hypothesis: proportion of defectives $> 2 \%$

Quizplus · Accepted Answer

The null hypothesis typically represents a statement of no effect or no difference and is often denoted by an equality sign. In this case, it states that the proportion of defects is equal to 2%, which is the company's claim. The alternative hypothesis represents the claim to be tested, which is that the proportion of defects is greater than 2%, aligning with the consumer group's belief.

A Hypothesis Test Is to Be Performed 2%2 \%2% Claimed by the Company

A Hypothesis Test Is to Be Performed $2 \%$ Claimed by the Company