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:The proportion of all tea-drinkers at the company that prefer green tea to black tea is ...

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Mathematics

Amaris Johns

15 February, 23:45

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:The proportion of all tea-drinkers at the company that prefer green tea to black tea is ...

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Brennan Johns · Answer 1

He wants to see if the proportion of the 125 tea-drinking employes is, as the newspaper report claims, 30%.

Then the null hypothesis says that this is false and that there is no relation between the events.

Then the null hypothesis is:

The proportion of all tea-drinkers at the company that prefer green tea to black the is not the 30%

Which is the negation of the thing that Leo wants to check.