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Out of 500 orders of tacos, 184 of them have beef filling and 157 of them...

Out of 500 orders of tacos, 184 of them have beef filling and 157 of them have chicken filling. Test using a 0.05 significance level the claim that beef is more popular than taco filling.

a) Write down the claim

b) Write down the null hypothesis and the alternative hypothesis. Indicate which one is the claim.

c) Draw the probability distribution curve. Write down the testing statistic and the P-Value on the graph.

d) Determine whether to reject the null hypothesis. Write the conclusion in a complete sentence.

Math   Statistics-And-Probability   
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Answer #1

(a) beef feeling is more popular than taco filling.

(b) H0: p1 <= p2 (null hypothesis) versus H1: p1 > p2 (alternative hypothesis). Alternative hypothesis is the claim.
Here, p1 = proportion of people who have beef filling, p2 = proportion of people who have chicken filling.

(d) Since p-value is less than alpha = 0.05 (level of significance), we reject the null hypothesis. We conclude that there is enough evidence to suggest that beef filling is more popular than taco filling.

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