A newspaper report claims that $30 \%$ of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Leo asks a simple random sample of 125 tea-drinking employees which they prefer: green tea or black tea.

Here's Leo's null hypothesis:
$H_{0}:$ The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Leo to finish his null hypothesis?
Choose 1 answer:
(A) ...not equal to $30 \%$.
(B) ...equal to $30 \%$.
(c) ...less than $30 \%$.
(D) ...greater than $30 \%$.

Question

A newspaper report claims that $30 \%$ of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Leo asks a simple random sample of 125 tea-drinking employees which they prefer: green tea or black tea.

Here's Leo's null hypothesis:
$H_{0}:$ The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Leo to finish his null hypothesis?
Choose 1 answer:
(A) ...not equal to $30 \%$.
(B) ...equal to $30 \%$.
(c) ...less than $30 \%$.
(D) ...greater than $30 \%$.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To set up a null hypothesis for hypothesis testing, we state what we assume to be true before we collect any data. ‖ ‖ step 2 ⋮ The null hypothesis often states that there is no effect or no difference, and it will be tested against an alternative hypothesis. ‖ ‖ step 3 ⋮ Since the newspaper report claims that $30\%$ of all tea-drinkers prefer green tea, Leo's null hypothesis should reflect this proportion as the assumed true proportion for his company's tea-drinkers. ‖ ‖ step 4 ⋮ Therefore, the null hypothesis should be that the proportion of tea-drinkers at the company who prefer green tea is equal to $30\%$. ‖ ∻1 Answer∻ ***B*** ∻Key Concept∻ ⚹Null Hypothesis⚹ ∻Explanation∻ ⚹The null hypothesis is a statement used in hypothesis testing that proposes no statistical significance exists in a set of given observations. It is often symbolized as H₀ and is assumed to be true until evidence indicates otherwise.⚹◊What is the formula for calculating the standard error of the difference in sample proportions from two different factories?⍭ Generate me a similar question◊

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