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The owner of a small pet supply store wants to open a second store in another ci

ID: 3065681 • Letter: T

Question

The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than 13 of the city’s households have pets. He samples 150 of the households and finds that 64 have pets.

1) The parameter of interest is [ Select ]

Diference in proportions

Diference in mean

Single proportion

Single mean

2) The observed sample statistic is [ Select ]

One-thrid of 150= 50

150 Households

64

64/150 = 0.427

3) From the choices below, the correct null and alternative hypotheses are [ Select ]

A. H0: x¯ = 13   vs. Ha: x¯ > 13

B. H0p=64150 vs.Hap>64150

C. H0: p^= 13 vs. Ha: p^ > 13

D. H0p=13 vs.Hap>13

E. H0p=13 vs.Hap13

F. H0: u = 1/3 vs. Ha: > 1/3

4) The tail direction of Ha is :

Right Tail

Left Tail

two -tailed test

5) Based on 500 samples, the p-value (by counting the dots) is (round to 3 decimal places)

7/500 = 0.014

1/500 = 0.002

29/500 = 0.058

0.427

20 10 0 0.25 2 0.40 0.45 ull 0.333 0.427

Explanation / Answer

a) The parameter of interest is

Single proportion

b) sample statistic is = 64/150 = 0.427

c) E. H0p=13 vs.Hap13

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