Conduct the following test at the alpha = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 not equals p2. Sample data are x1 = 28, n1 = 254, x2 = 38, and n2 = 301.

a) H0: p1 - p2 = 0

H1: p1 - p2 ≠ 0

b) z=-0.58

c) p-value = 0.562

Step-by-step explanation:

We need to determine whether p1 is not equals p2, so the null and alternative hypothesis are:

H0: p1 - p2 = 0

H1: p1 - p2 ≠ 0

Where p1 and p2 are the proportions of the population. Additionally, the proportions of the sample p1' and p2' are calculated as:

Then, the test statistic is calculated using the following equation:

Where p' is calculated as:

So, replacing the values, we get that the test statistic is:

Finally, using the standard normal table, the p-value is equal to:

The p-value is greater that the value of alpha 0.1, so we can't reject the null hypothesis and there is evidence to said that p1 and p2 are equals.

283 square feet

step-by-step explanation:

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addition

step-by-step explanation: