A health researcher claims that the distribution of gym attendance across the week is as follows:

You randomly survey $500$ gym members and ask which day of the week they most often go to the gym. The results are:

At $\alpha =0.05$, test the researcher’s claim.

There is sufficient evidence to conclude the distribution is different from what the researcher claimed.

There is insufficient evidence to conclude the distribution is different; the claim is reasonable.

The sample size is too small to conduct the test.

The test cannot be completed without knowing standard deviations.