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Hello everyone.
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In this question we are given that a genetic experiment has been conducted with peas that resulted in 437 green ones and 156 yellow ones.
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We have to construct 90 % confidence interval to estimate the percentage of yellow peas.
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And so with the given data, we begin the solution.
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So we will first note down the sample, which is the total value.
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So the sample is given as this green piece plus yellow piece.
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So it is this value which comes out to be equal to 593.
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We will call this n for the time being.
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Now to construct the interval, we will first calculate the point estimate, which is denoted by p cap or p hat is given by x.
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Divided by n where x is the number of p's with respective colors.
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So for the yellow one, which will have number of yellow peas, which is turned 56, divided by total, which is 593, which is given by 0 .2630.
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After this, we will calculate the significance level, which is alpha, which is given by 1 minus confidence level in decimal, which is 1 minus 90%, which is divided by 100.
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And this comes out to be 0 .1.
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So this is your alpha...