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Hello students.
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Today we will discuss about this question.
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In this question we are given that 100 coke drinkers took the pepsi challenge and 56 preferred the taste of diet pepsi.
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And sample size, so here we are given that n that is equal to 100 and sample proportion p that is equal to 56 divide by 100 so that is equals to 0 .56.
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Now here we are given that the level of significance that is alpha that is equals to 0 .05 and 0 .01 is taken.
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5 or 0 .01 is taken.
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Here we are given that p is greater than 0 .5, that is more than half the diet coke drinkers.
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Before the prefer the taste of pepsi.
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So here we can say that at zero such that p .e is less.
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Less than or equals to 0 .5 and h1 such that p is greater than 0 .5.
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Now here we need to find the test statistic z under the h0.
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After that we need to find the p value and then we need to conclude, we need to give our conclusion.
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So here first of a we will find the test statistic z that is equals to p minus capital p divided by square root of pq divided by n is n of 0 .01.
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So therefore z that is equals to 0 .56 minus 0 .5 divided by square root of 0 .5 multiplied by 0 .5 multiplied by 1 divided by 100...