A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test this claim of the analyst. You stand buy the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that actually 20 people made a purchase. 19. State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase

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joaobezerra joaobezerra · Answer 1 · 2021-06-18T02:39:16+02:00

Answer:

The null hypothesis is [tex]H_0: p \geq 0.32[/tex]

The alternative hypothesis is [tex]H_1: p < 0.32[/tex]

Step-by-step explanation:

State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase

At the null hypothesis, we test if the proportion is of at least 32%, that is:

[tex]H_0: p \geq 0.32[/tex]

We are testing if less than 32% of visitors make a purchase, so, at the alternative hypothesis, we test if the proportion is less than 32%, that is:

[tex]H_1: p < 0.32[/tex]