# 0.02You wish to test the following claim (H) at a significance level of aHo:p 0.47Ha p 0.47You obtain a sample of size n 394 in which there are 214 successful observations. For this test,you should NOT use the continuity correction, and you should use the normal distribution as anapproximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statisticWhat is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...less than (or equal to) agreater than aThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the populationproportion is greater than 0.47.There is not sufficient evidence to warrant rejection of the claim that the populationproportion is greater than 0.47The sample data support the claim that the population proportion is greater than 0.47There is not sufficient sample evidence to support the claim that the populationproportion is greater than 0.47

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Step 1

The null and alternative hypotheses are as follows:

From the information, a right tail test with level of significance 0.02 is given.

Null hypothesis:

H0: p = 0.47.

Alternative hypothesis:

Ha: p > 0.47.

From the given information, sample of size (n) 394 there are 214 successful observations.

Step 2

The test statistics is,

Step 3

The test statistics is (z) is 2.932.

The p-value is:

From standard normal table, the are...

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