continuation Question Help . A humane society claims that less than 34% of U S h

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continuation

Question Help . A humane society claims that less than 34% of U S households own a dog in a random sample of 402 U S households, 155 say they own a dog At : 010 is there enough evidence to support the society's claim? Complete parts a through (e) below using the given information When you know the number of successes x, the sample size n, and the population proportion p, it can be easier to use the formula shown below to find the standardized test statistic when using a z-test for a population proportion p x-np (a) Write the claim mathematically and identily Ho and Ha Choose the correct answer below OA. Ho p 0 34 Ha p#034 O C. Ho P2034 Ha ps0.34 B. Ho ps034 Ha p 034 O D. Ho p

Explanation / Answer

a)
H0: p >= 0.34
H1: p < 0.34

b)
Critical value is -1.2816

rejection region - option B

c)
z = (155 - 402*0.34)/sqrt(402*0.34*0.66) = 1.9289

d)
Fail to reject H0

e)
Interpretation : Option C

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