Question

A publisher reports that 44 % of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually above the reported percentage. A random sample of 340 found that 50 % of the readers owned a particular make of car. Is there sufficient evidence at the 0.05 level to support the executive's claim?

State the null and alternative hypotheses.

Find the value of the test statistic. Round your answer to two decimal places.

Specify if the test is one-tailed or two-tailed.

Determine the P-value of the test statistic. Round your answer to four decimal places.

Identify the value of the level of significance.

Make the decision to reject or fail to reject the null hypothesis.

State the conclusion of the hypothesis test.

Answer 1

Above problem can be solved using one proportion z test.

It is one sided test and level of significance is 0.05

As null hypothesis is rejected, we conclude that the claim is true that the the percentage is above the reported percentage that is above the 44%.

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