Question

An internet retailer conducts a study to determine the proportion of Australians over the age of 25 who have made on-line purchases of consumer durable goods in the last year. The managing director claims the proportion is 15%. A random sample of size 173 is selected. If the claim is valid, below what value would the lowest 10% of sample proportions lie? Express the answer as a percentage, correct to two decimal places.

Answer 1

pls answer

Answer 2

@dumbcow pls help

Answer 3

@fthrogers help

Answer 4

@Mimi_x3 help

Answer 5

@lgbasallote help!

Answer 6

@zepp help

Answer 7

I don't understand this question, sorry. :s
The director claims 15%, 15% of how many people?

Answer 8

1

Answer 9

@zepp ^^

Answer 10

1 person? o.o

Answer 11

hold on, let me get my stats book

Answer 12

what is the confidence level of the hypothesis test?

Answer 13

ok i'll assume its 0.1 ...(i don't know what the 10% is referring to)
z-score for proportions is
\[\large z = \frac{p-0.15}{\sqrt{\frac{.15(1-.15)}{173}}}\]
at 90% significance, claim is valid if Z>-1.28
\[\rightarrow \frac{p-.15}{.02715} > -1.28\]
\[\rightarrow p > .115\]

Answer 14

i am also assuming the hypothesis test is:
H0: p = 0.15
Ha: p < 0.15
is that correct?