Question

In: Statistics and Probability

A) For this question assume the population is at least 20 times larger than the sample...

For this question assume the population is at least 20 times larger than the sample size. The null hypothesis is that the proportions from A and B are equal.

The numbers you need to answer the questions are n_A = 12 , n_B = 15 ,

p' _A is 0.75 and x_B = 9

1) Find x_A This needs to be whole number.

2) Find p'_B Round to 4 decimal places

3) Find the pooled proportion. p_c = to 4 decimal places

4) Find the test statistic z= Round to 3 places.

5) Find the P-value for a two tail test. Use rounded version of z to two places. Then round the P-value to 3 places.

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF

H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF

H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF

H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF

H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF

H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 60 men, 30% owned cats
Based on a sample of 20 women, 50% owned cats

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

Fail to reject the null hypothesis
Reject the null hypothesis

Solutions

Expert Solution

A) Given:

For this question assume the population is at least 20 times larger than the sample size. The null hypothesis is that the proportions from A and B are equal.

The numbers you need to answer the questions are n_A = 12 , n_B = 15 ,

p' _A is 0.75 and x_B = 9

2) Given:

Claim : The proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.

Fail to reject the null hypothesis.

orchestra answered 1 year ago

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