A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sampleof 200 drivers is taken and its determined that 126 people are wearing seat belts.The following is the setup for this hypothesis test:Ho :p-0.65Ha : p < 0.65In this example, the p-value was determined to be 0.277come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)Select the correct answer below:O The decision is to reject the Null Hypothesis.The conclusion is that there is enough evidence to support the claimThe decision is to fail to reject the Null Hypothesis.The conclusion is that there is not enough evidence to support the claim

Question
Asked Mar 19, 2019
A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample
of 200 drivers is taken and its determined that 126 people are wearing seat belts.
The following is the setup for this hypothesis test:
Ho :p-0.65
Ha : p < 0.65
In this example, the p-value was determined to be 0.277
come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Select the correct answer below:
O The decision is to reject the Null Hypothesis.
The conclusion is that there is enough evidence to support the claim
The decision is to fail to reject the Null Hypothesis.
The conclusion is that there is not enough evidence to support the claim
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A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim

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Step 1

Test hypothesis:

Denote the population proportion of people wearing seat belts as P.

The investigator is interested to test whether the population proportion of people wearing seat belts is less than 0.65 or not.

The hypotheses are given below:

Null hypothesis:

H0 : P = 0.65

That is, the population proportion of people wearing seat belts is equal to 0.65.

Alternative hypothesis:

Ha : P < 0.65 (Left tail test).

That is, the population proportion of people wearing seat belts is less than 0.65.

Step 2

Given information:

Here, it is given that among a random sample of 200 drivers, 126 drivers wear seat belts.

The P–value is determined as 0.277 and the level of significance is α = 0.05.

Step 3

Decision rule:

Decision rule based on P-value approach:

If P-value ≤ α, then reject the null hypothesis H0.

If P-value >...

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