Jan 2024 Update: A calica cat is a multicolored domestic cat whose fur that is orange, white, black, cream, and gray. My adorable

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A calica cat is a multicolored domestic cat whose fur that is orange, white, black, cream, and gray. My adorable callco Kitten Cate the Great, is shown below. It turns out that nearly all calico cats are female. One source daims that exactly 99.9% of all call cats are female. We are interested in testing this claim. Let p be the true proportion of all calico cats that are female. A sample of 104 randomly selected callco cats found that 100 were female. Round all answers in this problem to three decimal places. (a) (4 points) What are the appropriate null and alternative hypotheses? (a) (4 points) What are the appropriate null and alternative hypotheses? hypothesis OHD O HD999 O H D >0.900 Alternative hypothesis: OHP - 0.999 O HD99.9 OH 0.999 OMD99.9 OHID0.999 (b) (2 points) What kind of hypothesis test is described? TWO-tailed test Left-tailed test Right-tailed test One-tailed test (c) (2 points) What is the sample proportion of female calice cats in the study (d) (4 points) What is the appropriate test statistic for the hypothesis testin (b)? 0.05, what is the appropriate conclusion? (a) (2 points) at Foto Palto reject Red Refect (4 points) using the sample data, computer an upper bound for a lower 99% confidence interval for p. This upper bound is (a) (2 points) Based on the confidence interval in (). Is 99.9% a plausible value for the true percentage of calice cats that are female? 99 is plausible O s implausible (Bonus) What one word best describe my click the pictured The best n e wer from each section will receive one bonuspoint.

Asked By StormySeas69 at 30 Jan 2024

Answered By Expert

Tim

Expert · 2.1k answers · 2k people helped

using minitab>stat>basic stat>one sample proportion

we have

Test and CI for One Proportion

Test of p = 0.999 vs p ≠ 0.999

Sample X N Sample p 95% CI Z-Value P-Value
1 100 104 0.961538 (0.924579, 0.998498) -12.09 0.000

a) the null hypothesis is

Ho:p=0.999

the alternative hypothesis is

Ho:p≠ 0.999

b ) two tailed test

c )sample proportion is 0.961538

d) test stat is -12.09

e ) Reject Ho

est and CI for One Proportion

Test of p = 0.999 vs p < 0.999

Exact
Sample X N Sample p 95% Upper Bound P-Value
1 100 104 0.961538 0.986758 0.000

upper bound is 0.986758

g ) 99.9 % is implausible

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